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Finding the Fourth Proportional to 26,841.96, 40,266.14 and 12,981

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Solution

The fourth proportional to 26,841.96, 40,266.14 and 12,981 is: 19,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,841.96 : 40,266.14 = 12,981 : x
  2. Step 2: Convert to fraction form
    26,841.96/40,266.14 = 12,981/x
  3. Step 3: Cross multiply
    26,841.96x = 40,266.14 × 12,981
  4. Step 4: Simplify right side
    26,841.96x = 522,694,763.34
  5. Step 5: Solve for x
    x = 522,694,763.34/26,841.96
  6. Step 6: Final answer
    x = 19,473.05

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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.