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Finding the Fourth Proportional to 13,842.17, 19,103.22 and 7,875.76

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Solution

The fourth proportional to 13,842.17, 19,103.22 and 7,875.76 is: 10,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.17 : 19,103.22 = 7,875.76 : x
  2. Step 2: Convert to fraction form
    13,842.17/19,103.22 = 7,875.76/x
  3. Step 3: Cross multiply
    13,842.17x = 19,103.22 × 7,875.76
  4. Step 4: Simplify right side
    13,842.17x = 150,452,375.95
  5. Step 5: Solve for x
    x = 150,452,375.95/13,842.17
  6. Step 6: Final answer
    x = 10,869.13

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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.