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Finding the Fourth Proportional to 16,301.88, 22,495.32 and 9,587.76

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Solution

The fourth proportional to 16,301.88, 22,495.32 and 9,587.76 is: 13,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.88 : 22,495.32 = 9,587.76 : x
  2. Step 2: Convert to fraction form
    16,301.88/22,495.32 = 9,587.76/x
  3. Step 3: Cross multiply
    16,301.88x = 22,495.32 × 9,587.76
  4. Step 4: Simplify right side
    16,301.88x = 215,679,729.28
  5. Step 5: Solve for x
    x = 215,679,729.28/16,301.88
  6. Step 6: Final answer
    x = 13,230.36

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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.