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Finding the Fourth Proportional to 15,883.80, 21,917.28 and 9,508.89

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Solution

The fourth proportional to 15,883.80, 21,917.28 and 9,508.89 is: 13,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.80 : 21,917.28 = 9,508.89 : x
  2. Step 2: Convert to fraction form
    15,883.80/21,917.28 = 9,508.89/x
  3. Step 3: Cross multiply
    15,883.80x = 21,917.28 × 9,508.89
  4. Step 4: Simplify right side
    15,883.80x = 208,409,122.47
  5. Step 5: Solve for x
    x = 208,409,122.47/15,883.80
  6. Step 6: Final answer
    x = 13,120.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.