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Finding the Fourth Proportional to 24,387.81, 36,582.99 and 7,749.15

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Solution

The fourth proportional to 24,387.81, 36,582.99 and 7,749.15 is: 11,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.81 : 36,582.99 = 7,749.15 : x
  2. Step 2: Convert to fraction form
    24,387.81/36,582.99 = 7,749.15/x
  3. Step 3: Cross multiply
    24,387.81x = 36,582.99 × 7,749.15
  4. Step 4: Simplify right side
    24,387.81x = 283,487,076.96
  5. Step 5: Solve for x
    x = 283,487,076.96/24,387.81
  6. Step 6: Final answer
    x = 11,624.13

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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.