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Finding the Fourth Proportional to 21,765.39, 32,658.09 and 12,898.31

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Solution

The fourth proportional to 21,765.39, 32,658.09 and 12,898.31 is: 19,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.39 : 32,658.09 = 12,898.31 : x
  2. Step 2: Convert to fraction form
    21,765.39/32,658.09 = 12,898.31/x
  3. Step 3: Cross multiply
    21,765.39x = 32,658.09 × 12,898.31
  4. Step 4: Simplify right side
    21,765.39x = 421,233,957.17
  5. Step 5: Solve for x
    x = 421,233,957.17/21,765.39
  6. Step 6: Final answer
    x = 19,353.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.