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Finding the Fourth Proportional to 21,402.62, 32,113.13 and 11,539.59

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Solution

The fourth proportional to 21,402.62, 32,113.13 and 11,539.59 is: 17,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.62 : 32,113.13 = 11,539.59 : x
  2. Step 2: Convert to fraction form
    21,402.62/32,113.13 = 11,539.59/x
  3. Step 3: Cross multiply
    21,402.62x = 32,113.13 × 11,539.59
  4. Step 4: Simplify right side
    21,402.62x = 370,572,296.12
  5. Step 5: Solve for x
    x = 370,572,296.12/21,402.62
  6. Step 6: Final answer
    x = 17,314.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.