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Finding the Fourth Proportional to 14,706.52, 20,281.15 and 11,344

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Solution

The fourth proportional to 14,706.52, 20,281.15 and 11,344 is: 15,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.52 : 20,281.15 = 11,344 : x
  2. Step 2: Convert to fraction form
    14,706.52/20,281.15 = 11,344/x
  3. Step 3: Cross multiply
    14,706.52x = 20,281.15 × 11,344
  4. Step 4: Simplify right side
    14,706.52x = 230,069,365.60
  5. Step 5: Solve for x
    x = 230,069,365.60/14,706.52
  6. Step 6: Final answer
    x = 15,644.04

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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.