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Finding the Fourth Proportional to 24,074.80, 36,111.34 and 8,492

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Solution

The fourth proportional to 24,074.80, 36,111.34 and 8,492 is: 12,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.80 : 36,111.34 = 8,492 : x
  2. Step 2: Convert to fraction form
    24,074.80/36,111.34 = 8,492/x
  3. Step 3: Cross multiply
    24,074.80x = 36,111.34 × 8,492
  4. Step 4: Simplify right side
    24,074.80x = 306,657,499.28
  5. Step 5: Solve for x
    x = 306,657,499.28/24,074.80
  6. Step 6: Final answer
    x = 12,737.70

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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.