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Finding the Fourth Proportional to 24,848, 37,272.60 and 9,262.56

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Solution

The fourth proportional to 24,848, 37,272.60 and 9,262.56 is: 13,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848 : 37,272.60 = 9,262.56 : x
  2. Step 2: Convert to fraction form
    24,848/37,272.60 = 9,262.56/x
  3. Step 3: Cross multiply
    24,848x = 37,272.60 × 9,262.56
  4. Step 4: Simplify right side
    24,848x = 345,239,693.86
  5. Step 5: Solve for x
    x = 345,239,693.86/24,848
  6. Step 6: Final answer
    x = 13,894.06

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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.