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Finding the Fourth Proportional to 22,714.92, 34,071.57 and 11,025

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Solution

The fourth proportional to 22,714.92, 34,071.57 and 11,025 is: 16,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.92 : 34,071.57 = 11,025 : x
  2. Step 2: Convert to fraction form
    22,714.92/34,071.57 = 11,025/x
  3. Step 3: Cross multiply
    22,714.92x = 34,071.57 × 11,025
  4. Step 4: Simplify right side
    22,714.92x = 375,639,059.25
  5. Step 5: Solve for x
    x = 375,639,059.25/22,714.92
  6. Step 6: Final answer
    x = 16,537.11

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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.