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Finding the Fourth Proportional to 16,123.70, 24,167.55 and 7,807.70

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Solution

The fourth proportional to 16,123.70, 24,167.55 and 7,807.70 is: 11,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.70 : 24,167.55 = 7,807.70 : x
  2. Step 2: Convert to fraction form
    16,123.70/24,167.55 = 7,807.70/x
  3. Step 3: Cross multiply
    16,123.70x = 24,167.55 × 7,807.70
  4. Step 4: Simplify right side
    16,123.70x = 188,692,980.14
  5. Step 5: Solve for x
    x = 188,692,980.14/16,123.70
  6. Step 6: Final answer
    x = 11,702.83

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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.