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Finding the Fourth Proportional to 16,491.40, 24,737.10 and 11,566.60

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Solution

The fourth proportional to 16,491.40, 24,737.10 and 11,566.60 is: 17,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.40 : 24,737.10 = 11,566.60 : x
  2. Step 2: Convert to fraction form
    16,491.40/24,737.10 = 11,566.60/x
  3. Step 3: Cross multiply
    16,491.40x = 24,737.10 × 11,566.60
  4. Step 4: Simplify right side
    16,491.40x = 286,124,140.86
  5. Step 5: Solve for x
    x = 286,124,140.86/16,491.40
  6. Step 6: Final answer
    x = 17,349.90

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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.