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Finding the Fourth Proportional to 22,667.10, 34,002.27 and 7,874.16

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Solution

The fourth proportional to 22,667.10, 34,002.27 and 7,874.16 is: 11,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.10 : 34,002.27 = 7,874.16 : x
  2. Step 2: Convert to fraction form
    22,667.10/34,002.27 = 7,874.16/x
  3. Step 3: Cross multiply
    22,667.10x = 34,002.27 × 7,874.16
  4. Step 4: Simplify right side
    22,667.10x = 267,739,314.34
  5. Step 5: Solve for x
    x = 267,739,314.34/22,667.10
  6. Step 6: Final answer
    x = 11,811.80

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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.