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Finding the Fourth Proportional to 12,438.06, 17,167.95 and 8,465.82

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Solution

The fourth proportional to 12,438.06, 17,167.95 and 8,465.82 is: 11,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.06 : 17,167.95 = 8,465.82 : x
  2. Step 2: Convert to fraction form
    12,438.06/17,167.95 = 8,465.82/x
  3. Step 3: Cross multiply
    12,438.06x = 17,167.95 × 8,465.82
  4. Step 4: Simplify right side
    12,438.06x = 145,340,774.47
  5. Step 5: Solve for x
    x = 145,340,774.47/12,438.06
  6. Step 6: Final answer
    x = 11,685.16

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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.