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Finding the Fourth Proportional to 24,788.13, 37,177.41 and 7,018.65

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Solution

The fourth proportional to 24,788.13, 37,177.41 and 7,018.65 is: 10,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.13 : 37,177.41 = 7,018.65 : x
  2. Step 2: Convert to fraction form
    24,788.13/37,177.41 = 7,018.65/x
  3. Step 3: Cross multiply
    24,788.13x = 37,177.41 × 7,018.65
  4. Step 4: Simplify right side
    24,788.13x = 260,935,255.02
  5. Step 5: Solve for x
    x = 260,935,255.02/24,788.13
  6. Step 6: Final answer
    x = 10,526.62

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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.