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Finding the Fourth Proportional to 19,853.64, 29,727.18 and 10,474.20

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Solution

The fourth proportional to 19,853.64, 29,727.18 and 10,474.20 is: 15,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.64 : 29,727.18 = 10,474.20 : x
  2. Step 2: Convert to fraction form
    19,853.64/29,727.18 = 10,474.20/x
  3. Step 3: Cross multiply
    19,853.64x = 29,727.18 × 10,474.20
  4. Step 4: Simplify right side
    19,853.64x = 311,368,428.76
  5. Step 5: Solve for x
    x = 311,368,428.76/19,853.64
  6. Step 6: Final answer
    x = 15,683.19

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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.