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Finding the Fourth Proportional to 22,823.97, 31,497.12 and 12,752.43

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Solution

The fourth proportional to 22,823.97, 31,497.12 and 12,752.43 is: 17,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.97 : 31,497.12 = 12,752.43 : x
  2. Step 2: Convert to fraction form
    22,823.97/31,497.12 = 12,752.43/x
  3. Step 3: Cross multiply
    22,823.97x = 31,497.12 × 12,752.43
  4. Step 4: Simplify right side
    22,823.97x = 401,664,818.00
  5. Step 5: Solve for x
    x = 401,664,818.00/22,823.97
  6. Step 6: Final answer
    x = 17,598.38

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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.