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Finding the Fourth Proportional to 12,545.86, 18,823.41 and 5,148.33

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Solution

The fourth proportional to 12,545.86, 18,823.41 and 5,148.33 is: 7,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.86 : 18,823.41 = 5,148.33 : x
  2. Step 2: Convert to fraction form
    12,545.86/18,823.41 = 5,148.33/x
  3. Step 3: Cross multiply
    12,545.86x = 18,823.41 × 5,148.33
  4. Step 4: Simplify right side
    12,545.86x = 96,909,196.54
  5. Step 5: Solve for x
    x = 96,909,196.54/12,545.86
  6. Step 6: Final answer
    x = 7,724.40

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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.