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Finding the Fourth Proportional to 24,468.72, 36,705.76 and 7,824.84

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Solution

The fourth proportional to 24,468.72, 36,705.76 and 7,824.84 is: 11,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.72 : 36,705.76 = 7,824.84 : x
  2. Step 2: Convert to fraction form
    24,468.72/36,705.76 = 7,824.84/x
  3. Step 3: Cross multiply
    24,468.72x = 36,705.76 × 7,824.84
  4. Step 4: Simplify right side
    24,468.72x = 287,216,541.87
  5. Step 5: Solve for x
    x = 287,216,541.87/24,468.72
  6. Step 6: Final answer
    x = 11,738.11

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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.