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Finding the Fourth Proportional to 16,125.28, 24,187.92 and 7,354

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Solution

The fourth proportional to 16,125.28, 24,187.92 and 7,354 is: 11,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.28 : 24,187.92 = 7,354 : x
  2. Step 2: Convert to fraction form
    16,125.28/24,187.92 = 7,354/x
  3. Step 3: Cross multiply
    16,125.28x = 24,187.92 × 7,354
  4. Step 4: Simplify right side
    16,125.28x = 177,877,963.68
  5. Step 5: Solve for x
    x = 177,877,963.68/16,125.28
  6. Step 6: Final answer
    x = 11,031.00

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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.