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Finding the Fourth Proportional to 10,332.50, 15,554.98 and 9,413.96

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Solution

The fourth proportional to 10,332.50, 15,554.98 and 9,413.96 is: 14,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.50 : 15,554.98 = 9,413.96 : x
  2. Step 2: Convert to fraction form
    10,332.50/15,554.98 = 9,413.96/x
  3. Step 3: Cross multiply
    10,332.50x = 15,554.98 × 9,413.96
  4. Step 4: Simplify right side
    10,332.50x = 146,433,959.52
  5. Step 5: Solve for x
    x = 146,433,959.52/10,332.50
  6. Step 6: Final answer
    x = 14,172.17

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