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Finding the Fourth Proportional to 20,413.68, 28,169.08 and 12,458.40

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Solution

The fourth proportional to 20,413.68, 28,169.08 and 12,458.40 is: 17,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.68 : 28,169.08 = 12,458.40 : x
  2. Step 2: Convert to fraction form
    20,413.68/28,169.08 = 12,458.40/x
  3. Step 3: Cross multiply
    20,413.68x = 28,169.08 × 12,458.40
  4. Step 4: Simplify right side
    20,413.68x = 350,941,666.27
  5. Step 5: Solve for x
    x = 350,941,666.27/20,413.68
  6. Step 6: Final answer
    x = 17,191.49

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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.