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Finding the Fourth Proportional to 14,083.40, 19,437.17 and 8,114.92

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Solution

The fourth proportional to 14,083.40, 19,437.17 and 8,114.92 is: 11,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.40 : 19,437.17 = 8,114.92 : x
  2. Step 2: Convert to fraction form
    14,083.40/19,437.17 = 8,114.92/x
  3. Step 3: Cross multiply
    14,083.40x = 19,437.17 × 8,114.92
  4. Step 4: Simplify right side
    14,083.40x = 157,730,990.41
  5. Step 5: Solve for x
    x = 157,730,990.41/14,083.40
  6. Step 6: Final answer
    x = 11,199.78

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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.