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Finding the Fourth Proportional to 13,413.50, 20,133.50 and 10,070.12

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Solution

The fourth proportional to 13,413.50, 20,133.50 and 10,070.12 is: 15,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.50 : 20,133.50 = 10,070.12 : x
  2. Step 2: Convert to fraction form
    13,413.50/20,133.50 = 10,070.12/x
  3. Step 3: Cross multiply
    13,413.50x = 20,133.50 × 10,070.12
  4. Step 4: Simplify right side
    13,413.50x = 202,746,761.00
  5. Step 5: Solve for x
    x = 202,746,761.00/13,413.50
  6. Step 6: Final answer
    x = 15,115.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.