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Finding the Fourth Proportional to 14,076.47, 21,092.82 and 5,306.60

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Solution

The fourth proportional to 14,076.47, 21,092.82 and 5,306.60 is: 7,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.47 : 21,092.82 = 5,306.60 : x
  2. Step 2: Convert to fraction form
    14,076.47/21,092.82 = 5,306.60/x
  3. Step 3: Cross multiply
    14,076.47x = 21,092.82 × 5,306.60
  4. Step 4: Simplify right side
    14,076.47x = 111,931,158.61
  5. Step 5: Solve for x
    x = 111,931,158.61/14,076.47
  6. Step 6: Final answer
    x = 7,951.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.