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Finding the Fourth Proportional to 24,672.26, 37,013.26 and 7,142.24

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Solution

The fourth proportional to 24,672.26, 37,013.26 and 7,142.24 is: 10,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.26 : 37,013.26 = 7,142.24 : x
  2. Step 2: Convert to fraction form
    24,672.26/37,013.26 = 7,142.24/x
  3. Step 3: Cross multiply
    24,672.26x = 37,013.26 × 7,142.24
  4. Step 4: Simplify right side
    24,672.26x = 264,357,586.10
  5. Step 5: Solve for x
    x = 264,357,586.10/24,672.26
  6. Step 6: Final answer
    x = 10,714.77

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1.5x scale

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.