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Finding the Fourth Proportional to 12,974.29, 17,904.54 and 7,671.73

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Solution

The fourth proportional to 12,974.29, 17,904.54 and 7,671.73 is: 10,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.29 : 17,904.54 = 7,671.73 : x
  2. Step 2: Convert to fraction form
    12,974.29/17,904.54 = 7,671.73/x
  3. Step 3: Cross multiply
    12,974.29x = 17,904.54 × 7,671.73
  4. Step 4: Simplify right side
    12,974.29x = 137,358,796.65
  5. Step 5: Solve for x
    x = 137,358,796.65/12,974.29
  6. Step 6: Final answer
    x = 10,587.00

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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.