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Finding the Fourth Proportional to 24,321.90, 36,487.72 and 7,683.48

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Solution

The fourth proportional to 24,321.90, 36,487.72 and 7,683.48 is: 11,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.90 : 36,487.72 = 7,683.48 : x
  2. Step 2: Convert to fraction form
    24,321.90/36,487.72 = 7,683.48/x
  3. Step 3: Cross multiply
    24,321.90x = 36,487.72 × 7,683.48
  4. Step 4: Simplify right side
    24,321.90x = 280,352,666.87
  5. Step 5: Solve for x
    x = 280,352,666.87/24,321.90
  6. Step 6: Final answer
    x = 11,526.76

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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.