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Finding the Fourth Proportional to 24,770, 37,158.36 and 7,237.52

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Solution

The fourth proportional to 24,770, 37,158.36 and 7,237.52 is: 10,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770 : 37,158.36 = 7,237.52 : x
  2. Step 2: Convert to fraction form
    24,770/37,158.36 = 7,237.52/x
  3. Step 3: Cross multiply
    24,770x = 37,158.36 × 7,237.52
  4. Step 4: Simplify right side
    24,770x = 268,934,373.67
  5. Step 5: Solve for x
    x = 268,934,373.67/24,770
  6. Step 6: Final answer
    x = 10,857.26

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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.