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Finding the Fourth Proportional to 24,480.71, 36,720.45 and 7,840.67

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Solution

The fourth proportional to 24,480.71, 36,720.45 and 7,840.67 is: 11,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.71 : 36,720.45 = 7,840.67 : x
  2. Step 2: Convert to fraction form
    24,480.71/36,720.45 = 7,840.67/x
  3. Step 3: Cross multiply
    24,480.71x = 36,720.45 × 7,840.67
  4. Step 4: Simplify right side
    24,480.71x = 287,913,022.50
  5. Step 5: Solve for x
    x = 287,913,022.50/24,480.71
  6. Step 6: Final answer
    x = 11,760.81

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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.