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Finding the Fourth Proportional to 21,706.32, 32,562.11 and 6,123.95

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Solution

The fourth proportional to 21,706.32, 32,562.11 and 6,123.95 is: 9,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.32 : 32,562.11 = 6,123.95 : x
  2. Step 2: Convert to fraction form
    21,706.32/32,562.11 = 6,123.95/x
  3. Step 3: Cross multiply
    21,706.32x = 32,562.11 × 6,123.95
  4. Step 4: Simplify right side
    21,706.32x = 199,408,586.03
  5. Step 5: Solve for x
    x = 199,408,586.03/21,706.32
  6. Step 6: Final answer
    x = 9,186.66

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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.