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Finding the Fourth Proportional to 14,048.64, 19,387.32 and 7,761.24

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Solution

The fourth proportional to 14,048.64, 19,387.32 and 7,761.24 is: 10,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.64 : 19,387.32 = 7,761.24 : x
  2. Step 2: Convert to fraction form
    14,048.64/19,387.32 = 7,761.24/x
  3. Step 3: Cross multiply
    14,048.64x = 19,387.32 × 7,761.24
  4. Step 4: Simplify right side
    14,048.64x = 150,469,643.48
  5. Step 5: Solve for x
    x = 150,469,643.48/14,048.64
  6. Step 6: Final answer
    x = 10,710.62

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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.