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Finding the Fourth Proportional to 24,051, 36,077.04 and 8,256

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Solution

The fourth proportional to 24,051, 36,077.04 and 8,256 is: 12,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051 : 36,077.04 = 8,256 : x
  2. Step 2: Convert to fraction form
    24,051/36,077.04 = 8,256/x
  3. Step 3: Cross multiply
    24,051x = 36,077.04 × 8,256
  4. Step 4: Simplify right side
    24,051x = 297,852,042.24
  5. Step 5: Solve for x
    x = 297,852,042.24/24,051
  6. Step 6: Final answer
    x = 12,384.19

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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.