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Finding the Fourth Proportional to 12,124.17, 18,167.69 and 8,160.77

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Solution

The fourth proportional to 12,124.17, 18,167.69 and 8,160.77 is: 12,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.17 : 18,167.69 = 8,160.77 : x
  2. Step 2: Convert to fraction form
    12,124.17/18,167.69 = 8,160.77/x
  3. Step 3: Cross multiply
    12,124.17x = 18,167.69 × 8,160.77
  4. Step 4: Simplify right side
    12,124.17x = 148,262,298.72
  5. Step 5: Solve for x
    x = 148,262,298.72/12,124.17
  6. Step 6: Final answer
    x = 12,228.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.