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Finding the Fourth Proportional to 16,123.60, 24,174.60 and 7,807.60

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Solution

The fourth proportional to 16,123.60, 24,174.60 and 7,807.60 is: 11,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.60 : 24,174.60 = 7,807.60 : x
  2. Step 2: Convert to fraction form
    16,123.60/24,174.60 = 7,807.60/x
  3. Step 3: Cross multiply
    16,123.60x = 24,174.60 × 7,807.60
  4. Step 4: Simplify right side
    16,123.60x = 188,745,606.96
  5. Step 5: Solve for x
    x = 188,745,606.96/16,123.60
  6. Step 6: Final answer
    x = 11,706.17

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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.