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Finding the Fourth Proportional to 17,741.40, 26,612.10 and 7,870.20

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Solution

The fourth proportional to 17,741.40, 26,612.10 and 7,870.20 is: 11,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.40 : 26,612.10 = 7,870.20 : x
  2. Step 2: Convert to fraction form
    17,741.40/26,612.10 = 7,870.20/x
  3. Step 3: Cross multiply
    17,741.40x = 26,612.10 × 7,870.20
  4. Step 4: Simplify right side
    17,741.40x = 209,442,549.42
  5. Step 5: Solve for x
    x = 209,442,549.42/17,741.40
  6. Step 6: Final answer
    x = 11,805.30

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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.