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Finding the Fourth Proportional to 17,967.47, 24,794.03 and 10,413.20

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Solution

The fourth proportional to 17,967.47, 24,794.03 and 10,413.20 is: 14,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.47 : 24,794.03 = 10,413.20 : x
  2. Step 2: Convert to fraction form
    17,967.47/24,794.03 = 10,413.20/x
  3. Step 3: Cross multiply
    17,967.47x = 24,794.03 × 10,413.20
  4. Step 4: Simplify right side
    17,967.47x = 258,185,281.21
  5. Step 5: Solve for x
    x = 258,185,281.21/17,967.47
  6. Step 6: Final answer
    x = 14,369.60

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1.5x scale

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.