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Finding the Fourth Proportional to 21,657.84, 32,486.36 and 6,866.72

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Solution

The fourth proportional to 21,657.84, 32,486.36 and 6,866.72 is: 10,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.84 : 32,486.36 = 6,866.72 : x
  2. Step 2: Convert to fraction form
    21,657.84/32,486.36 = 6,866.72/x
  3. Step 3: Cross multiply
    21,657.84x = 32,486.36 × 6,866.72
  4. Step 4: Simplify right side
    21,657.84x = 223,074,737.94
  5. Step 5: Solve for x
    x = 223,074,737.94/21,657.84
  6. Step 6: Final answer
    x = 10,299.95

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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.