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Finding the Fourth Proportional to 22,827.90, 34,256.52 and 11,134.74

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Solution

The fourth proportional to 22,827.90, 34,256.52 and 11,134.74 is: 16,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.90 : 34,256.52 = 11,134.74 : x
  2. Step 2: Convert to fraction form
    22,827.90/34,256.52 = 11,134.74/x
  3. Step 3: Cross multiply
    22,827.90x = 34,256.52 × 11,134.74
  4. Step 4: Simplify right side
    22,827.90x = 381,437,443.50
  5. Step 5: Solve for x
    x = 381,437,443.50/22,827.90
  6. Step 6: Final answer
    x = 16,709.27

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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.