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Finding the Fourth Proportional to 24,521, 33,838.98 and 13,343.08

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Solution

The fourth proportional to 24,521, 33,838.98 and 13,343.08 is: 18,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521 : 33,838.98 = 13,343.08 : x
  2. Step 2: Convert to fraction form
    24,521/33,838.98 = 13,343.08/x
  3. Step 3: Cross multiply
    24,521x = 33,838.98 × 13,343.08
  4. Step 4: Simplify right side
    24,521x = 451,516,217.26
  5. Step 5: Solve for x
    x = 451,516,217.26/24,521
  6. Step 6: Final answer
    x = 18,413.45

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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.