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Finding the Fourth Proportional to 22,758.69, 31,408.05 and 12,687.20

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Solution

The fourth proportional to 22,758.69, 31,408.05 and 12,687.20 is: 17,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.69 : 31,408.05 = 12,687.20 : x
  2. Step 2: Convert to fraction form
    22,758.69/31,408.05 = 12,687.20/x
  3. Step 3: Cross multiply
    22,758.69x = 31,408.05 × 12,687.20
  4. Step 4: Simplify right side
    22,758.69x = 398,480,211.96
  5. Step 5: Solve for x
    x = 398,480,211.96/22,758.69
  6. Step 6: Final answer
    x = 17,508.93

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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.