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Finding the Fourth Proportional to 21,539.84, 32,319.20 and 10,455.04

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Solution

The fourth proportional to 21,539.84, 32,319.20 and 10,455.04 is: 15,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,539.84 : 32,319.20 = 10,455.04 : x
  2. Step 2: Convert to fraction form
    21,539.84/32,319.20 = 10,455.04/x
  3. Step 3: Cross multiply
    21,539.84x = 32,319.20 × 10,455.04
  4. Step 4: Simplify right side
    21,539.84x = 337,898,528.77
  5. Step 5: Solve for x
    x = 337,898,528.77/21,539.84
  6. Step 6: Final answer
    x = 15,687.14

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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.