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Finding the Fourth Proportional to 14,291.98, 19,724.10 and 8,323.28

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Solution

The fourth proportional to 14,291.98, 19,724.10 and 8,323.28 is: 11,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.98 : 19,724.10 = 8,323.28 : x
  2. Step 2: Convert to fraction form
    14,291.98/19,724.10 = 8,323.28/x
  3. Step 3: Cross multiply
    14,291.98x = 19,724.10 × 8,323.28
  4. Step 4: Simplify right side
    14,291.98x = 164,169,207.05
  5. Step 5: Solve for x
    x = 164,169,207.05/14,291.98
  6. Step 6: Final answer
    x = 11,486.81

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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.