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Finding the Fourth Proportional to 26,980.17, 40,478.16 and 13,841.70

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Solution

The fourth proportional to 26,980.17, 40,478.16 and 13,841.70 is: 20,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980.17 : 40,478.16 = 13,841.70 : x
  2. Step 2: Convert to fraction form
    26,980.17/40,478.16 = 13,841.70/x
  3. Step 3: Cross multiply
    26,980.17x = 40,478.16 × 13,841.70
  4. Step 4: Simplify right side
    26,980.17x = 560,286,547.27
  5. Step 5: Solve for x
    x = 560,286,547.27/26,980.17
  6. Step 6: Final answer
    x = 20,766.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.