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Finding the Fourth Proportional to 14,386.38, 19,854.03 and 8,099.16

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Solution

The fourth proportional to 14,386.38, 19,854.03 and 8,099.16 is: 11,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.38 : 19,854.03 = 8,099.16 : x
  2. Step 2: Convert to fraction form
    14,386.38/19,854.03 = 8,099.16/x
  3. Step 3: Cross multiply
    14,386.38x = 19,854.03 × 8,099.16
  4. Step 4: Simplify right side
    14,386.38x = 160,800,965.61
  5. Step 5: Solve for x
    x = 160,800,965.61/14,386.38
  6. Step 6: Final answer
    x = 11,177.31

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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.