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Finding the Fourth Proportional to 16,442.64, 24,672.06 and 10,201.06

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Solution

The fourth proportional to 16,442.64, 24,672.06 and 10,201.06 is: 15,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.64 : 24,672.06 = 10,201.06 : x
  2. Step 2: Convert to fraction form
    16,442.64/24,672.06 = 10,201.06/x
  3. Step 3: Cross multiply
    16,442.64x = 24,672.06 × 10,201.06
  4. Step 4: Simplify right side
    16,442.64x = 251,681,164.38
  5. Step 5: Solve for x
    x = 251,681,164.38/16,442.64
  6. Step 6: Final answer
    x = 15,306.62

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1.5x scale

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.