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Finding the Fourth Proportional to 22,770, 31,422.60 and 12,834

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Solution

The fourth proportional to 22,770, 31,422.60 and 12,834 is: 17,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770 : 31,422.60 = 12,834 : x
  2. Step 2: Convert to fraction form
    22,770/31,422.60 = 12,834/x
  3. Step 3: Cross multiply
    22,770x = 31,422.60 × 12,834
  4. Step 4: Simplify right side
    22,770x = 403,277,648.40
  5. Step 5: Solve for x
    x = 403,277,648.40/22,770
  6. Step 6: Final answer
    x = 17,710.92

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