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Finding the Fourth Proportional to 23,916.42, 35,876.11 and 7,277.67

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Solution

The fourth proportional to 23,916.42, 35,876.11 and 7,277.67 is: 10,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916.42 : 35,876.11 = 7,277.67 : x
  2. Step 2: Convert to fraction form
    23,916.42/35,876.11 = 7,277.67/x
  3. Step 3: Cross multiply
    23,916.42x = 35,876.11 × 7,277.67
  4. Step 4: Simplify right side
    23,916.42x = 261,094,291.89
  5. Step 5: Solve for x
    x = 261,094,291.89/23,916.42
  6. Step 6: Final answer
    x = 10,916.95

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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.