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Finding the Fourth Proportional to 30,013.92, 41,418 and 17,437.68

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Solution

The fourth proportional to 30,013.92, 41,418 and 17,437.68 is: 24,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.92 : 41,418 = 17,437.68 : x
  2. Step 2: Convert to fraction form
    30,013.92/41,418 = 17,437.68/x
  3. Step 3: Cross multiply
    30,013.92x = 41,418 × 17,437.68
  4. Step 4: Simplify right side
    30,013.92x = 722,233,830.24
  5. Step 5: Solve for x
    x = 722,233,830.24/30,013.92
  6. Step 6: Final answer
    x = 24,063.30

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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.