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Finding the Fourth Proportional to 22,658.49, 31,267.40 and 12,586.35

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Solution

The fourth proportional to 22,658.49, 31,267.40 and 12,586.35 is: 17,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.49 : 31,267.40 = 12,586.35 : x
  2. Step 2: Convert to fraction form
    22,658.49/31,267.40 = 12,586.35/x
  3. Step 3: Cross multiply
    22,658.49x = 31,267.40 × 12,586.35
  4. Step 4: Simplify right side
    22,658.49x = 393,542,377.06
  5. Step 5: Solve for x
    x = 393,542,377.06/22,658.49
  6. Step 6: Final answer
    x = 17,368.43

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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.