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Finding the Fourth Proportional to 10,332, 15,554.23 and 9,413.46

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Solution

The fourth proportional to 10,332, 15,554.23 and 9,413.46 is: 14,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 15,554.23 = 9,413.46 : x
  2. Step 2: Convert to fraction form
    10,332/15,554.23 = 9,413.46/x
  3. Step 3: Cross multiply
    10,332x = 15,554.23 × 9,413.46
  4. Step 4: Simplify right side
    10,332x = 146,419,121.94
  5. Step 5: Solve for x
    x = 146,419,121.94/10,332
  6. Step 6: Final answer
    x = 14,171.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.