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Finding the Fourth Proportional to 23,254.76, 34,870.38 and 7,667.24

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Solution

The fourth proportional to 23,254.76, 34,870.38 and 7,667.24 is: 11,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.76 : 34,870.38 = 7,667.24 : x
  2. Step 2: Convert to fraction form
    23,254.76/34,870.38 = 7,667.24/x
  3. Step 3: Cross multiply
    23,254.76x = 34,870.38 × 7,667.24
  4. Step 4: Simplify right side
    23,254.76x = 267,359,572.35
  5. Step 5: Solve for x
    x = 267,359,572.35/23,254.76
  6. Step 6: Final answer
    x = 11,496.98

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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.