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Finding the Fourth Proportional to 22,964.83, 31,689.01 and 12,894.38

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Solution

The fourth proportional to 22,964.83, 31,689.01 and 12,894.38 is: 17,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.83 : 31,689.01 = 12,894.38 : x
  2. Step 2: Convert to fraction form
    22,964.83/31,689.01 = 12,894.38/x
  3. Step 3: Cross multiply
    22,964.83x = 31,689.01 × 12,894.38
  4. Step 4: Simplify right side
    22,964.83x = 408,609,946.08
  5. Step 5: Solve for x
    x = 408,609,946.08/22,964.83
  6. Step 6: Final answer
    x = 17,792.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.