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Finding the Fourth Proportional to 17,261.42, 25,918.05 and 9,874.22

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Solution

The fourth proportional to 17,261.42, 25,918.05 and 9,874.22 is: 14,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261.42 : 25,918.05 = 9,874.22 : x
  2. Step 2: Convert to fraction form
    17,261.42/25,918.05 = 9,874.22/x
  3. Step 3: Cross multiply
    17,261.42x = 25,918.05 × 9,874.22
  4. Step 4: Simplify right side
    17,261.42x = 255,920,527.67
  5. Step 5: Solve for x
    x = 255,920,527.67/17,261.42
  6. Step 6: Final answer
    x = 14,826.16

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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.