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Finding the Fourth Proportional to 24,882.72, 37,332 and 7,352.64

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Solution

The fourth proportional to 24,882.72, 37,332 and 7,352.64 is: 11,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.72 : 37,332 = 7,352.64 : x
  2. Step 2: Convert to fraction form
    24,882.72/37,332 = 7,352.64/x
  3. Step 3: Cross multiply
    24,882.72x = 37,332 × 7,352.64
  4. Step 4: Simplify right side
    24,882.72x = 274,488,756.48
  5. Step 5: Solve for x
    x = 274,488,756.48/24,882.72
  6. Step 6: Final answer
    x = 11,031.30

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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.