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Finding the Fourth Proportional to 14,854.71, 20,498.61 and 8,139

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Solution

The fourth proportional to 14,854.71, 20,498.61 and 8,139 is: 11,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.71 : 20,498.61 = 8,139 : x
  2. Step 2: Convert to fraction form
    14,854.71/20,498.61 = 8,139/x
  3. Step 3: Cross multiply
    14,854.71x = 20,498.61 × 8,139
  4. Step 4: Simplify right side
    14,854.71x = 166,838,186.79
  5. Step 5: Solve for x
    x = 166,838,186.79/14,854.71
  6. Step 6: Final answer
    x = 11,231.33

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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.