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Finding the Fourth Proportional to 27,003.52, 40,503.90 and 9,472

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Solution

The fourth proportional to 27,003.52, 40,503.90 and 9,472 is: 14,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.52 : 40,503.90 = 9,472 : x
  2. Step 2: Convert to fraction form
    27,003.52/40,503.90 = 9,472/x
  3. Step 3: Cross multiply
    27,003.52x = 40,503.90 × 9,472
  4. Step 4: Simplify right side
    27,003.52x = 383,652,940.80
  5. Step 5: Solve for x
    x = 383,652,940.80/27,003.52
  6. Step 6: Final answer
    x = 14,207.52

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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.