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Finding the Fourth Proportional to 22,792.20, 31,455 and 12,585.23

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Solution

The fourth proportional to 22,792.20, 31,455 and 12,585.23 is: 17,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.20 : 31,455 = 12,585.23 : x
  2. Step 2: Convert to fraction form
    22,792.20/31,455 = 12,585.23/x
  3. Step 3: Cross multiply
    22,792.20x = 31,455 × 12,585.23
  4. Step 4: Simplify right side
    22,792.20x = 395,868,252.38
  5. Step 5: Solve for x
    x = 395,868,252.38/22,792.20
  6. Step 6: Final answer
    x = 17,368.58

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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.