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Finding the Fourth Proportional to 16,314.60, 24,423.30 and 9,737.40

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Solution

The fourth proportional to 16,314.60, 24,423.30 and 9,737.40 is: 14,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.60 : 24,423.30 = 9,737.40 : x
  2. Step 2: Convert to fraction form
    16,314.60/24,423.30 = 9,737.40/x
  3. Step 3: Cross multiply
    16,314.60x = 24,423.30 × 9,737.40
  4. Step 4: Simplify right side
    16,314.60x = 237,819,441.42
  5. Step 5: Solve for x
    x = 237,819,441.42/16,314.60
  6. Step 6: Final answer
    x = 14,577.09

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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.