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Finding the Fourth Proportional to 16,159.96, 24,215.10 and 9,573.04

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Solution

The fourth proportional to 16,159.96, 24,215.10 and 9,573.04 is: 14,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.96 : 24,215.10 = 9,573.04 : x
  2. Step 2: Convert to fraction form
    16,159.96/24,215.10 = 9,573.04/x
  3. Step 3: Cross multiply
    16,159.96x = 24,215.10 × 9,573.04
  4. Step 4: Simplify right side
    16,159.96x = 231,812,120.90
  5. Step 5: Solve for x
    x = 231,812,120.90/16,159.96
  6. Step 6: Final answer
    x = 14,344.84

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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.