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Finding the Fourth Proportional to 24,588.72, 36,882.84 and 7,058.52

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Solution

The fourth proportional to 24,588.72, 36,882.84 and 7,058.52 is: 10,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.72 : 36,882.84 = 7,058.52 : x
  2. Step 2: Convert to fraction form
    24,588.72/36,882.84 = 7,058.52/x
  3. Step 3: Cross multiply
    24,588.72x = 36,882.84 × 7,058.52
  4. Step 4: Simplify right side
    24,588.72x = 260,338,263.80
  5. Step 5: Solve for x
    x = 260,338,263.80/24,588.72
  6. Step 6: Final answer
    x = 10,587.71

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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.