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Finding the Fourth Proportional to 23,527.92, 32,471.12 and 13,457.30

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Solution

The fourth proportional to 23,527.92, 32,471.12 and 13,457.30 is: 18,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.92 : 32,471.12 = 13,457.30 : x
  2. Step 2: Convert to fraction form
    23,527.92/32,471.12 = 13,457.30/x
  3. Step 3: Cross multiply
    23,527.92x = 32,471.12 × 13,457.30
  4. Step 4: Simplify right side
    23,527.92x = 436,973,617.07
  5. Step 5: Solve for x
    x = 436,973,617.07/23,527.92
  6. Step 6: Final answer
    x = 18,572.56

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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.