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Finding the Fourth Proportional to 14,329.90, 19,775.10 and 8,042.14

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Solution

The fourth proportional to 14,329.90, 19,775.10 and 8,042.14 is: 11,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.90 : 19,775.10 = 8,042.14 : x
  2. Step 2: Convert to fraction form
    14,329.90/19,775.10 = 8,042.14/x
  3. Step 3: Cross multiply
    14,329.90x = 19,775.10 × 8,042.14
  4. Step 4: Simplify right side
    14,329.90x = 159,034,122.71
  5. Step 5: Solve for x
    x = 159,034,122.71/14,329.90
  6. Step 6: Final answer
    x = 11,098.06

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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.