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Finding the Fourth Proportional to 15,132.12, 20,881.65 and 8,417.22

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Solution

The fourth proportional to 15,132.12, 20,881.65 and 8,417.22 is: 11,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132.12 : 20,881.65 = 8,417.22 : x
  2. Step 2: Convert to fraction form
    15,132.12/20,881.65 = 8,417.22/x
  3. Step 3: Cross multiply
    15,132.12x = 20,881.65 × 8,417.22
  4. Step 4: Simplify right side
    15,132.12x = 175,765,442.01
  5. Step 5: Solve for x
    x = 175,765,442.01/15,132.12
  6. Step 6: Final answer
    x = 11,615.39

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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.