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Finding the Fourth Proportional to 22,932, 31,646.64 and 12,996

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Solution

The fourth proportional to 22,932, 31,646.64 and 12,996 is: 17,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932 : 31,646.64 = 12,996 : x
  2. Step 2: Convert to fraction form
    22,932/31,646.64 = 12,996/x
  3. Step 3: Cross multiply
    22,932x = 31,646.64 × 12,996
  4. Step 4: Simplify right side
    22,932x = 411,279,733.44
  5. Step 5: Solve for x
    x = 411,279,733.44/22,932
  6. Step 6: Final answer
    x = 17,934.75

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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.