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Finding the Fourth Proportional to 17,742.20, 26,642.10 and 9,966.20

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Solution

The fourth proportional to 17,742.20, 26,642.10 and 9,966.20 is: 14,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.20 : 26,642.10 = 9,966.20 : x
  2. Step 2: Convert to fraction form
    17,742.20/26,642.10 = 9,966.20/x
  3. Step 3: Cross multiply
    17,742.20x = 26,642.10 × 9,966.20
  4. Step 4: Simplify right side
    17,742.20x = 265,520,497.02
  5. Step 5: Solve for x
    x = 265,520,497.02/17,742.20
  6. Step 6: Final answer
    x = 14,965.48

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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.