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Finding the Fourth Proportional to 26,705.16, 40,057.88 and 6,983.76

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Solution

The fourth proportional to 26,705.16, 40,057.88 and 6,983.76 is: 10,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.16 : 40,057.88 = 6,983.76 : x
  2. Step 2: Convert to fraction form
    26,705.16/40,057.88 = 6,983.76/x
  3. Step 3: Cross multiply
    26,705.16x = 40,057.88 × 6,983.76
  4. Step 4: Simplify right side
    26,705.16x = 279,754,585.11
  5. Step 5: Solve for x
    x = 279,754,585.11/26,705.16
  6. Step 6: Final answer
    x = 10,475.68

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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.