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Finding the Fourth Proportional to 12,657.86, 17,462.49 and 8,467.46

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Solution

The fourth proportional to 12,657.86, 17,462.49 and 8,467.46 is: 11,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.86 : 17,462.49 = 8,467.46 : x
  2. Step 2: Convert to fraction form
    12,657.86/17,462.49 = 8,467.46/x
  3. Step 3: Cross multiply
    12,657.86x = 17,462.49 × 8,467.46
  4. Step 4: Simplify right side
    12,657.86x = 147,862,935.58
  5. Step 5: Solve for x
    x = 147,862,935.58/12,657.86
  6. Step 6: Final answer
    x = 11,681.51

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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.