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Finding the Fourth Proportional to 24,666.57, 37,003.50 and 7,134.12

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Solution

The fourth proportional to 24,666.57, 37,003.50 and 7,134.12 is: 10,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.57 : 37,003.50 = 7,134.12 : x
  2. Step 2: Convert to fraction form
    24,666.57/37,003.50 = 7,134.12/x
  3. Step 3: Cross multiply
    24,666.57x = 37,003.50 × 7,134.12
  4. Step 4: Simplify right side
    24,666.57x = 263,987,409.42
  5. Step 5: Solve for x
    x = 263,987,409.42/24,666.57
  6. Step 6: Final answer
    x = 10,702.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.