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Finding the Fourth Proportional to 23,842.29, 32,903.92 and 13,771.16

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Solution

The fourth proportional to 23,842.29, 32,903.92 and 13,771.16 is: 19,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.29 : 32,903.92 = 13,771.16 : x
  2. Step 2: Convert to fraction form
    23,842.29/32,903.92 = 13,771.16/x
  3. Step 3: Cross multiply
    23,842.29x = 32,903.92 × 13,771.16
  4. Step 4: Simplify right side
    23,842.29x = 453,125,123.03
  5. Step 5: Solve for x
    x = 453,125,123.03/23,842.29
  6. Step 6: Final answer
    x = 19,005.10

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