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Finding the Fourth Proportional to 24,047.52, 36,067.64 and 8,461.50

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Solution

The fourth proportional to 24,047.52, 36,067.64 and 8,461.50 is: 12,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.52 : 36,067.64 = 8,461.50 : x
  2. Step 2: Convert to fraction form
    24,047.52/36,067.64 = 8,461.50/x
  3. Step 3: Cross multiply
    24,047.52x = 36,067.64 × 8,461.50
  4. Step 4: Simplify right side
    24,047.52x = 305,186,293.55
  5. Step 5: Solve for x
    x = 305,186,293.55/24,047.52
  6. Step 6: Final answer
    x = 12,690.97

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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.