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Finding the Fourth Proportional to 24,468.63, 36,700.61 and 7,824.18

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Solution

The fourth proportional to 24,468.63, 36,700.61 and 7,824.18 is: 11,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.63 : 36,700.61 = 7,824.18 : x
  2. Step 2: Convert to fraction form
    24,468.63/36,700.61 = 7,824.18/x
  3. Step 3: Cross multiply
    24,468.63x = 36,700.61 × 7,824.18
  4. Step 4: Simplify right side
    24,468.63x = 287,152,139.63
  5. Step 5: Solve for x
    x = 287,152,139.63/24,468.63
  6. Step 6: Final answer
    x = 11,735.52

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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.