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Finding the Fourth Proportional to 40,098.65, 60,145.23 and 13,821.84

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Solution

The fourth proportional to 40,098.65, 60,145.23 and 13,821.84 is: 20,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.65 : 60,145.23 = 13,821.84 : x
  2. Step 2: Convert to fraction form
    40,098.65/60,145.23 = 13,821.84/x
  3. Step 3: Cross multiply
    40,098.65x = 60,145.23 × 13,821.84
  4. Step 4: Simplify right side
    40,098.65x = 831,317,797.66
  5. Step 5: Solve for x
    x = 831,317,797.66/40,098.65
  6. Step 6: Final answer
    x = 20,731.82

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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.