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Finding the Fourth Proportional to 24,321.89, 36,487.71 and 7,683.47

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Solution

The fourth proportional to 24,321.89, 36,487.71 and 7,683.47 is: 11,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.89 : 36,487.71 = 7,683.47 : x
  2. Step 2: Convert to fraction form
    24,321.89/36,487.71 = 7,683.47/x
  3. Step 3: Cross multiply
    24,321.89x = 36,487.71 × 7,683.47
  4. Step 4: Simplify right side
    24,321.89x = 280,352,225.15
  5. Step 5: Solve for x
    x = 280,352,225.15/24,321.89
  6. Step 6: Final answer
    x = 11,526.75

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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.