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Finding the Fourth Proportional to 14,329.68, 19,774.86 and 8,042.10

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Solution

The fourth proportional to 14,329.68, 19,774.86 and 8,042.10 is: 11,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.68 : 19,774.86 = 8,042.10 : x
  2. Step 2: Convert to fraction form
    14,329.68/19,774.86 = 8,042.10/x
  3. Step 3: Cross multiply
    14,329.68x = 19,774.86 × 8,042.10
  4. Step 4: Simplify right side
    14,329.68x = 159,031,401.61
  5. Step 5: Solve for x
    x = 159,031,401.61/14,329.68
  6. Step 6: Final answer
    x = 11,098.04

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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.