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Finding the Fourth Proportional to 12,378.24, 17,053.09 and 10,127

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Solution

The fourth proportional to 12,378.24, 17,053.09 and 10,127 is: 13,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.24 : 17,053.09 = 10,127 : x
  2. Step 2: Convert to fraction form
    12,378.24/17,053.09 = 10,127/x
  3. Step 3: Cross multiply
    12,378.24x = 17,053.09 × 10,127
  4. Step 4: Simplify right side
    12,378.24x = 172,696,642.43
  5. Step 5: Solve for x
    x = 172,696,642.43/12,378.24
  6. Step 6: Final answer
    x = 13,951.63

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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.