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Finding the Fourth Proportional to 12,545.92, 18,783.04 and 8,434.56

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Solution

The fourth proportional to 12,545.92, 18,783.04 and 8,434.56 is: 12,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.92 : 18,783.04 = 8,434.56 : x
  2. Step 2: Convert to fraction form
    12,545.92/18,783.04 = 8,434.56/x
  3. Step 3: Cross multiply
    12,545.92x = 18,783.04 × 8,434.56
  4. Step 4: Simplify right side
    12,545.92x = 158,426,677.86
  5. Step 5: Solve for x
    x = 158,426,677.86/12,545.92
  6. Step 6: Final answer
    x = 12,627.74

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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.