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Finding the Fourth Proportional to 24,276.54, 36,414.81 and 13,881

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Solution

The fourth proportional to 24,276.54, 36,414.81 and 13,881 is: 20,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.54 : 36,414.81 = 13,881 : x
  2. Step 2: Convert to fraction form
    24,276.54/36,414.81 = 13,881/x
  3. Step 3: Cross multiply
    24,276.54x = 36,414.81 × 13,881
  4. Step 4: Simplify right side
    24,276.54x = 505,473,977.61
  5. Step 5: Solve for x
    x = 505,473,977.61/24,276.54
  6. Step 6: Final answer
    x = 20,821.50

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1.5x scale

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.