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Finding the Fourth Proportional to 21,234, 29,306.16 and 12,855.36

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Solution

The fourth proportional to 21,234, 29,306.16 and 12,855.36 is: 17,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 29,306.16 = 12,855.36 : x
  2. Step 2: Convert to fraction form
    21,234/29,306.16 = 12,855.36/x
  3. Step 3: Cross multiply
    21,234x = 29,306.16 × 12,855.36
  4. Step 4: Simplify right side
    21,234x = 376,741,237.02
  5. Step 5: Solve for x
    x = 376,741,237.02/21,234
  6. Step 6: Final answer
    x = 17,742.36

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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.