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Finding the Fourth Proportional to 18,071.81, 24,934.35 and 10,413.20

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Solution

The fourth proportional to 18,071.81, 24,934.35 and 10,413.20 is: 14,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.81 : 24,934.35 = 10,413.20 : x
  2. Step 2: Convert to fraction form
    18,071.81/24,934.35 = 10,413.20/x
  3. Step 3: Cross multiply
    18,071.81x = 24,934.35 × 10,413.20
  4. Step 4: Simplify right side
    18,071.81x = 259,646,248.75
  5. Step 5: Solve for x
    x = 259,646,248.75/18,071.81
  6. Step 6: Final answer
    x = 14,367.48

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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.