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Finding the Fourth Proportional to 21,384.95, 32,073.98 and 6,391.85

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Solution

The fourth proportional to 21,384.95, 32,073.98 and 6,391.85 is: 9,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.95 : 32,073.98 = 6,391.85 : x
  2. Step 2: Convert to fraction form
    21,384.95/32,073.98 = 6,391.85/x
  3. Step 3: Cross multiply
    21,384.95x = 32,073.98 × 6,391.85
  4. Step 4: Simplify right side
    21,384.95x = 205,011,876.73
  5. Step 5: Solve for x
    x = 205,011,876.73/21,384.95
  6. Step 6: Final answer
    x = 9,586.74

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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.