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Finding the Fourth Proportional to 21,234, 31,626.72 and 20,123.76

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Solution

The fourth proportional to 21,234, 31,626.72 and 20,123.76 is: 29,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 31,626.72 = 20,123.76 : x
  2. Step 2: Convert to fraction form
    21,234/31,626.72 = 20,123.76/x
  3. Step 3: Cross multiply
    21,234x = 31,626.72 × 20,123.76
  4. Step 4: Simplify right side
    21,234x = 636,448,522.87
  5. Step 5: Solve for x
    x = 636,448,522.87/21,234
  6. Step 6: Final answer
    x = 29,973.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.