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Finding the Fourth Proportional to 10,159.01, 15,221.07 and 9,131.84

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Solution

The fourth proportional to 10,159.01, 15,221.07 and 9,131.84 is: 13,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.01 : 15,221.07 = 9,131.84 : x
  2. Step 2: Convert to fraction form
    10,159.01/15,221.07 = 9,131.84/x
  3. Step 3: Cross multiply
    10,159.01x = 15,221.07 × 9,131.84
  4. Step 4: Simplify right side
    10,159.01x = 138,996,299.76
  5. Step 5: Solve for x
    x = 138,996,299.76/10,159.01
  6. Step 6: Final answer
    x = 13,682.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.