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Finding the Fourth Proportional to 15,874.40, 23,767.86 and 8,044.94

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Solution

The fourth proportional to 15,874.40, 23,767.86 and 8,044.94 is: 12,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.40 : 23,767.86 = 8,044.94 : x
  2. Step 2: Convert to fraction form
    15,874.40/23,767.86 = 8,044.94/x
  3. Step 3: Cross multiply
    15,874.40x = 23,767.86 × 8,044.94
  4. Step 4: Simplify right side
    15,874.40x = 191,211,007.63
  5. Step 5: Solve for x
    x = 191,211,007.63/15,874.40
  6. Step 6: Final answer
    x = 12,045.24

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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.