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Finding the Fourth Proportional to 21,108.96, 31,658.76 and 9,414.72

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Solution

The fourth proportional to 21,108.96, 31,658.76 and 9,414.72 is: 14,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.96 : 31,658.76 = 9,414.72 : x
  2. Step 2: Convert to fraction form
    21,108.96/31,658.76 = 9,414.72/x
  3. Step 3: Cross multiply
    21,108.96x = 31,658.76 × 9,414.72
  4. Step 4: Simplify right side
    21,108.96x = 298,058,360.95
  5. Step 5: Solve for x
    x = 298,058,360.95/21,108.96
  6. Step 6: Final answer
    x = 14,119.99

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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.