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Finding the Fourth Proportional to 29,841.68, 41,176.68 and 17,264

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Solution

The fourth proportional to 29,841.68, 41,176.68 and 17,264 is: 23,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.68 : 41,176.68 = 17,264 : x
  2. Step 2: Convert to fraction form
    29,841.68/41,176.68 = 17,264/x
  3. Step 3: Cross multiply
    29,841.68x = 41,176.68 × 17,264
  4. Step 4: Simplify right side
    29,841.68x = 710,874,203.52
  5. Step 5: Solve for x
    x = 710,874,203.52/29,841.68
  6. Step 6: Final answer
    x = 23,821.52

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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.