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Finding the Fourth Proportional to 16,377.04, 24,556.92 and 7,138

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Solution

The fourth proportional to 16,377.04, 24,556.92 and 7,138 is: 10,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.04 : 24,556.92 = 7,138 : x
  2. Step 2: Convert to fraction form
    16,377.04/24,556.92 = 7,138/x
  3. Step 3: Cross multiply
    16,377.04x = 24,556.92 × 7,138
  4. Step 4: Simplify right side
    16,377.04x = 175,287,294.96
  5. Step 5: Solve for x
    x = 175,287,294.96/16,377.04
  6. Step 6: Final answer
    x = 10,703.23

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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.