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Finding the Fourth Proportional to 15,414.86, 21,272.52 and 8,341.28

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Solution

The fourth proportional to 15,414.86, 21,272.52 and 8,341.28 is: 11,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.86 : 21,272.52 = 8,341.28 : x
  2. Step 2: Convert to fraction form
    15,414.86/21,272.52 = 8,341.28/x
  3. Step 3: Cross multiply
    15,414.86x = 21,272.52 × 8,341.28
  4. Step 4: Simplify right side
    15,414.86x = 177,440,050.31
  5. Step 5: Solve for x
    x = 177,440,050.31/15,414.86
  6. Step 6: Final answer
    x = 11,510.98

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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.