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Finding the Fourth Proportional to 14,854.72, 22,281.36 and 5,620

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Solution

The fourth proportional to 14,854.72, 22,281.36 and 5,620 is: 8,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.72 : 22,281.36 = 5,620 : x
  2. Step 2: Convert to fraction form
    14,854.72/22,281.36 = 5,620/x
  3. Step 3: Cross multiply
    14,854.72x = 22,281.36 × 5,620
  4. Step 4: Simplify right side
    14,854.72x = 125,221,243.20
  5. Step 5: Solve for x
    x = 125,221,243.20/14,854.72
  6. Step 6: Final answer
    x = 8,429.73

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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.