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Finding the Fourth Proportional to 17,698.02, 24,413.11 and 11,062.50

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Solution

The fourth proportional to 17,698.02, 24,413.11 and 11,062.50 is: 15,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.02 : 24,413.11 = 11,062.50 : x
  2. Step 2: Convert to fraction form
    17,698.02/24,413.11 = 11,062.50/x
  3. Step 3: Cross multiply
    17,698.02x = 24,413.11 × 11,062.50
  4. Step 4: Simplify right side
    17,698.02x = 270,070,029.38
  5. Step 5: Solve for x
    x = 270,070,029.38/17,698.02
  6. Step 6: Final answer
    x = 15,259.90

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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.