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Finding the Fourth Proportional to 14,235.84, 19,643.96 and 8,266.34

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Solution

The fourth proportional to 14,235.84, 19,643.96 and 8,266.34 is: 11,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.84 : 19,643.96 = 8,266.34 : x
  2. Step 2: Convert to fraction form
    14,235.84/19,643.96 = 8,266.34/x
  3. Step 3: Cross multiply
    14,235.84x = 19,643.96 × 8,266.34
  4. Step 4: Simplify right side
    14,235.84x = 162,383,722.08
  5. Step 5: Solve for x
    x = 162,383,722.08/14,235.84
  6. Step 6: Final answer
    x = 11,406.68

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.