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Finding the Fourth Proportional to 24,996, 37,503.76 and 9,414.88

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Solution

The fourth proportional to 24,996, 37,503.76 and 9,414.88 is: 14,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996 : 37,503.76 = 9,414.88 : x
  2. Step 2: Convert to fraction form
    24,996/37,503.76 = 9,414.88/x
  3. Step 3: Cross multiply
    24,996x = 37,503.76 × 9,414.88
  4. Step 4: Simplify right side
    24,996x = 353,093,399.95
  5. Step 5: Solve for x
    x = 353,093,399.95/24,996
  6. Step 6: Final answer
    x = 14,126.00

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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.