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Finding the Fourth Proportional to 10,972.72, 16,442.65 and 10,152.60

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Solution

The fourth proportional to 10,972.72, 16,442.65 and 10,152.60 is: 15,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.72 : 16,442.65 = 10,152.60 : x
  2. Step 2: Convert to fraction form
    10,972.72/16,442.65 = 10,152.60/x
  3. Step 3: Cross multiply
    10,972.72x = 16,442.65 × 10,152.60
  4. Step 4: Simplify right side
    10,972.72x = 166,935,648.39
  5. Step 5: Solve for x
    x = 166,935,648.39/10,972.72
  6. Step 6: Final answer
    x = 15,213.70

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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.