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Finding the Fourth Proportional to 16,864.00, 25,276.86 and 10,275.66

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Solution

The fourth proportional to 16,864.00, 25,276.86 and 10,275.66 is: 15,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.00 : 25,276.86 = 10,275.66 : x
  2. Step 2: Convert to fraction form
    16,864.00/25,276.86 = 10,275.66/x
  3. Step 3: Cross multiply
    16,864.00x = 25,276.86 × 10,275.66
  4. Step 4: Simplify right side
    16,864.00x = 259,736,419.23
  5. Step 5: Solve for x
    x = 259,736,419.23/16,864.00
  6. Step 6: Final answer
    x = 15,401.83

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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.