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Finding the Fourth Proportional to 26,046.64, 39,066.72 and 10,459

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Solution

The fourth proportional to 26,046.64, 39,066.72 and 10,459 is: 15,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046.64 : 39,066.72 = 10,459 : x
  2. Step 2: Convert to fraction form
    26,046.64/39,066.72 = 10,459/x
  3. Step 3: Cross multiply
    26,046.64x = 39,066.72 × 10,459
  4. Step 4: Simplify right side
    26,046.64x = 408,598,824.48
  5. Step 5: Solve for x
    x = 408,598,824.48/26,046.64
  6. Step 6: Final answer
    x = 15,687.20

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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.