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Finding the Fourth Proportional to 24,386.81, 36,581.49 and 7,748.15

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Solution

The fourth proportional to 24,386.81, 36,581.49 and 7,748.15 is: 11,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.81 : 36,581.49 = 7,748.15 : x
  2. Step 2: Convert to fraction form
    24,386.81/36,581.49 = 7,748.15/x
  3. Step 3: Cross multiply
    24,386.81x = 36,581.49 × 7,748.15
  4. Step 4: Simplify right side
    24,386.81x = 283,438,871.74
  5. Step 5: Solve for x
    x = 283,438,871.74/24,386.81
  6. Step 6: Final answer
    x = 11,622.63

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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.