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Finding the Fourth Proportional to 23,476.76, 32,387.10 and 13,535

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Solution

The fourth proportional to 23,476.76, 32,387.10 and 13,535 is: 18,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.76 : 32,387.10 = 13,535 : x
  2. Step 2: Convert to fraction form
    23,476.76/32,387.10 = 13,535/x
  3. Step 3: Cross multiply
    23,476.76x = 32,387.10 × 13,535
  4. Step 4: Simplify right side
    23,476.76x = 438,359,398.50
  5. Step 5: Solve for x
    x = 438,359,398.50/23,476.76
  6. Step 6: Final answer
    x = 18,672.06

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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.