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Finding the Fourth Proportional to 16,580.88, 22,881.60 and 9,866.52

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Solution

The fourth proportional to 16,580.88, 22,881.60 and 9,866.52 is: 13,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.88 : 22,881.60 = 9,866.52 : x
  2. Step 2: Convert to fraction form
    16,580.88/22,881.60 = 9,866.52/x
  3. Step 3: Cross multiply
    16,580.88x = 22,881.60 × 9,866.52
  4. Step 4: Simplify right side
    16,580.88x = 225,761,764.03
  5. Step 5: Solve for x
    x = 225,761,764.03/16,580.88
  6. Step 6: Final answer
    x = 13,615.79

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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.