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Finding the Fourth Proportional to 16,413.16, 22,649.52 and 9,242.92

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Solution

The fourth proportional to 16,413.16, 22,649.52 and 9,242.92 is: 12,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.16 : 22,649.52 = 9,242.92 : x
  2. Step 2: Convert to fraction form
    16,413.16/22,649.52 = 9,242.92/x
  3. Step 3: Cross multiply
    16,413.16x = 22,649.52 × 9,242.92
  4. Step 4: Simplify right side
    16,413.16x = 209,347,701.40
  5. Step 5: Solve for x
    x = 209,347,701.40/16,413.16
  6. Step 6: Final answer
    x = 12,754.87

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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.