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Finding the Fourth Proportional to 14,121.47, 21,264.80 and 10,449.61

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Solution

The fourth proportional to 14,121.47, 21,264.80 and 10,449.61 is: 15,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.47 : 21,264.80 = 10,449.61 : x
  2. Step 2: Convert to fraction form
    14,121.47/21,264.80 = 10,449.61/x
  3. Step 3: Cross multiply
    14,121.47x = 21,264.80 × 10,449.61
  4. Step 4: Simplify right side
    14,121.47x = 222,208,761.32
  5. Step 5: Solve for x
    x = 222,208,761.32/14,121.47
  6. Step 6: Final answer
    x = 15,735.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.