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Finding the Fourth Proportional to 16,965.18, 23,413.61 and 9,411.53

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Solution

The fourth proportional to 16,965.18, 23,413.61 and 9,411.53 is: 12,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.18 : 23,413.61 = 9,411.53 : x
  2. Step 2: Convert to fraction form
    16,965.18/23,413.61 = 9,411.53/x
  3. Step 3: Cross multiply
    16,965.18x = 23,413.61 × 9,411.53
  4. Step 4: Simplify right side
    16,965.18x = 220,357,799.38
  5. Step 5: Solve for x
    x = 220,357,799.38/16,965.18
  6. Step 6: Final answer
    x = 12,988.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.