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Finding the Fourth Proportional to 16,099.60, 24,130.68 and 9,531.28

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Solution

The fourth proportional to 16,099.60, 24,130.68 and 9,531.28 is: 14,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.60 : 24,130.68 = 9,531.28 : x
  2. Step 2: Convert to fraction form
    16,099.60/24,130.68 = 9,531.28/x
  3. Step 3: Cross multiply
    16,099.60x = 24,130.68 × 9,531.28
  4. Step 4: Simplify right side
    16,099.60x = 229,996,267.67
  5. Step 5: Solve for x
    x = 229,996,267.67/16,099.60
  6. Step 6: Final answer
    x = 14,285.84

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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.