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Finding the Fourth Proportional to 14,080.71, 19,436.23 and 8,114.76

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Solution

The fourth proportional to 14,080.71, 19,436.23 and 8,114.76 is: 11,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.71 : 19,436.23 = 8,114.76 : x
  2. Step 2: Convert to fraction form
    14,080.71/19,436.23 = 8,114.76/x
  3. Step 3: Cross multiply
    14,080.71x = 19,436.23 × 8,114.76
  4. Step 4: Simplify right side
    14,080.71x = 157,720,341.75
  5. Step 5: Solve for x
    x = 157,720,341.75/14,080.71
  6. Step 6: Final answer
    x = 11,201.16

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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.