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Finding the Fourth Proportional to 24,219.92, 36,328.88 and 8,428.53

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Solution

The fourth proportional to 24,219.92, 36,328.88 and 8,428.53 is: 12,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.92 : 36,328.88 = 8,428.53 : x
  2. Step 2: Convert to fraction form
    24,219.92/36,328.88 = 8,428.53/x
  3. Step 3: Cross multiply
    24,219.92x = 36,328.88 × 8,428.53
  4. Step 4: Simplify right side
    24,219.92x = 306,199,212.25
  5. Step 5: Solve for x
    x = 306,199,212.25/24,219.92
  6. Step 6: Final answer
    x = 12,642.45

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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.