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Finding the Fourth Proportional to 22,648.42, 31,257.70 and 13,695.98

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Solution

The fourth proportional to 22,648.42, 31,257.70 and 13,695.98 is: 18,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.42 : 31,257.70 = 13,695.98 : x
  2. Step 2: Convert to fraction form
    22,648.42/31,257.70 = 13,695.98/x
  3. Step 3: Cross multiply
    22,648.42x = 31,257.70 × 13,695.98
  4. Step 4: Simplify right side
    22,648.42x = 428,104,834.05
  5. Step 5: Solve for x
    x = 428,104,834.05/22,648.42
  6. Step 6: Final answer
    x = 18,902.19

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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.