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Finding the Fourth Proportional to 23,538.54, 32,489.10 and 13,470.06

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Solution

The fourth proportional to 23,538.54, 32,489.10 and 13,470.06 is: 18,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.54 : 32,489.10 = 13,470.06 : x
  2. Step 2: Convert to fraction form
    23,538.54/32,489.10 = 13,470.06/x
  3. Step 3: Cross multiply
    23,538.54x = 32,489.10 × 13,470.06
  4. Step 4: Simplify right side
    23,538.54x = 437,630,126.35
  5. Step 5: Solve for x
    x = 437,630,126.35/23,538.54
  6. Step 6: Final answer
    x = 18,592.07

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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.