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Finding the Fourth Proportional to 14,043.92, 19,373.94 and 9,508.25

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Solution

The fourth proportional to 14,043.92, 19,373.94 and 9,508.25 is: 13,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.92 : 19,373.94 = 9,508.25 : x
  2. Step 2: Convert to fraction form
    14,043.92/19,373.94 = 9,508.25/x
  3. Step 3: Cross multiply
    14,043.92x = 19,373.94 × 9,508.25
  4. Step 4: Simplify right side
    14,043.92x = 184,212,313.44
  5. Step 5: Solve for x
    x = 184,212,313.44/14,043.92
  6. Step 6: Final answer
    x = 13,116.88

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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.