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Finding the Fourth Proportional to 23,842.56, 32,901.60 and 13,232.16

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Solution

The fourth proportional to 23,842.56, 32,901.60 and 13,232.16 is: 18,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.56 : 32,901.60 = 13,232.16 : x
  2. Step 2: Convert to fraction form
    23,842.56/32,901.60 = 13,232.16/x
  3. Step 3: Cross multiply
    23,842.56x = 32,901.60 × 13,232.16
  4. Step 4: Simplify right side
    23,842.56x = 435,359,235.46
  5. Step 5: Solve for x
    x = 435,359,235.46/23,842.56
  6. Step 6: Final answer
    x = 18,259.75

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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.