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Finding the Fourth Proportional to 16,246.32, 22,416.12 and 9,531.60

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Solution

The fourth proportional to 16,246.32, 22,416.12 and 9,531.60 is: 13,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246.32 : 22,416.12 = 9,531.60 : x
  2. Step 2: Convert to fraction form
    16,246.32/22,416.12 = 9,531.60/x
  3. Step 3: Cross multiply
    16,246.32x = 22,416.12 × 9,531.60
  4. Step 4: Simplify right side
    16,246.32x = 213,661,489.39
  5. Step 5: Solve for x
    x = 213,661,489.39/16,246.32
  6. Step 6: Final answer
    x = 13,151.38

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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.