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Finding the Fourth Proportional to 21,842.10, 32,706.99 and 14,811.30

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Solution

The fourth proportional to 21,842.10, 32,706.99 and 14,811.30 is: 22,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.10 : 32,706.99 = 14,811.30 : x
  2. Step 2: Convert to fraction form
    21,842.10/32,706.99 = 14,811.30/x
  3. Step 3: Cross multiply
    21,842.10x = 32,706.99 × 14,811.30
  4. Step 4: Simplify right side
    21,842.10x = 484,433,040.99
  5. Step 5: Solve for x
    x = 484,433,040.99/21,842.10
  6. Step 6: Final answer
    x = 22,178.87

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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.