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Finding the Fourth Proportional to 14,042.64, 19,382.16 and 8,077.75

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Solution

The fourth proportional to 14,042.64, 19,382.16 and 8,077.75 is: 11,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.64 : 19,382.16 = 8,077.75 : x
  2. Step 2: Convert to fraction form
    14,042.64/19,382.16 = 8,077.75/x
  3. Step 3: Cross multiply
    14,042.64x = 19,382.16 × 8,077.75
  4. Step 4: Simplify right side
    14,042.64x = 156,564,242.94
  5. Step 5: Solve for x
    x = 156,564,242.94/14,042.64
  6. Step 6: Final answer
    x = 11,149.20

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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.