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Finding the Fourth Proportional to 16,049.40, 24,054.02 and 7,727.18

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Solution

The fourth proportional to 16,049.40, 24,054.02 and 7,727.18 is: 11,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.40 : 24,054.02 = 7,727.18 : x
  2. Step 2: Convert to fraction form
    16,049.40/24,054.02 = 7,727.18/x
  3. Step 3: Cross multiply
    16,049.40x = 24,054.02 × 7,727.18
  4. Step 4: Simplify right side
    16,049.40x = 185,869,742.26
  5. Step 5: Solve for x
    x = 185,869,742.26/16,049.40
  6. Step 6: Final answer
    x = 11,581.10

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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.