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Finding the Fourth Proportional to 21,408.30, 32,112.45 and 19,658.70

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Solution

The fourth proportional to 21,408.30, 32,112.45 and 19,658.70 is: 29,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.30 : 32,112.45 = 19,658.70 : x
  2. Step 2: Convert to fraction form
    21,408.30/32,112.45 = 19,658.70/x
  3. Step 3: Cross multiply
    21,408.30x = 32,112.45 × 19,658.70
  4. Step 4: Simplify right side
    21,408.30x = 631,289,020.82
  5. Step 5: Solve for x
    x = 631,289,020.82/21,408.30
  6. Step 6: Final answer
    x = 29,488.05

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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.