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Finding the Fourth Proportional to 12,957.81, 17,886.90 and 8,176.77

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Solution

The fourth proportional to 12,957.81, 17,886.90 and 8,176.77 is: 11,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.81 : 17,886.90 = 8,176.77 : x
  2. Step 2: Convert to fraction form
    12,957.81/17,886.90 = 8,176.77/x
  3. Step 3: Cross multiply
    12,957.81x = 17,886.90 × 8,176.77
  4. Step 4: Simplify right side
    12,957.81x = 146,257,067.31
  5. Step 5: Solve for x
    x = 146,257,067.31/12,957.81
  6. Step 6: Final answer
    x = 11,287.17

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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.