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Finding the Fourth Proportional to 19,820.38, 29,727.84 and 10,952.10

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Solution

The fourth proportional to 19,820.38, 29,727.84 and 10,952.10 is: 16,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.38 : 29,727.84 = 10,952.10 : x
  2. Step 2: Convert to fraction form
    19,820.38/29,727.84 = 10,952.10/x
  3. Step 3: Cross multiply
    19,820.38x = 29,727.84 × 10,952.10
  4. Step 4: Simplify right side
    19,820.38x = 325,582,276.46
  5. Step 5: Solve for x
    x = 325,582,276.46/19,820.38
  6. Step 6: Final answer
    x = 16,426.64

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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.