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Finding the Fourth Proportional to 15,109.74, 20,852.85 and 9,142.88

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Solution

The fourth proportional to 15,109.74, 20,852.85 and 9,142.88 is: 12,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.74 : 20,852.85 = 9,142.88 : x
  2. Step 2: Convert to fraction form
    15,109.74/20,852.85 = 9,142.88/x
  3. Step 3: Cross multiply
    15,109.74x = 20,852.85 × 9,142.88
  4. Step 4: Simplify right side
    15,109.74x = 190,655,105.21
  5. Step 5: Solve for x
    x = 190,655,105.21/15,109.74
  6. Step 6: Final answer
    x = 12,618.03

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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.