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Finding the Fourth Proportional to 14,387.28, 19,854 and 8,099.52

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Solution

The fourth proportional to 14,387.28, 19,854 and 8,099.52 is: 11,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.28 : 19,854 = 8,099.52 : x
  2. Step 2: Convert to fraction form
    14,387.28/19,854 = 8,099.52/x
  3. Step 3: Cross multiply
    14,387.28x = 19,854 × 8,099.52
  4. Step 4: Simplify right side
    14,387.28x = 160,807,870.08
  5. Step 5: Solve for x
    x = 160,807,870.08/14,387.28
  6. Step 6: Final answer
    x = 11,177.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.