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Finding the Fourth Proportional to 16,277.76, 22,464 and 10,694.40

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Solution

The fourth proportional to 16,277.76, 22,464 and 10,694.40 is: 14,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.76 : 22,464 = 10,694.40 : x
  2. Step 2: Convert to fraction form
    16,277.76/22,464 = 10,694.40/x
  3. Step 3: Cross multiply
    16,277.76x = 22,464 × 10,694.40
  4. Step 4: Simplify right side
    16,277.76x = 240,239,001.60
  5. Step 5: Solve for x
    x = 240,239,001.60/16,277.76
  6. Step 6: Final answer
    x = 14,758.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.