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Finding the Fourth Proportional to 23,614.68, 35,431.02 and 8,830.20

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Solution

The fourth proportional to 23,614.68, 35,431.02 and 8,830.20 is: 13,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.68 : 35,431.02 = 8,830.20 : x
  2. Step 2: Convert to fraction form
    23,614.68/35,431.02 = 8,830.20/x
  3. Step 3: Cross multiply
    23,614.68x = 35,431.02 × 8,830.20
  4. Step 4: Simplify right side
    23,614.68x = 312,862,992.80
  5. Step 5: Solve for x
    x = 312,862,992.80/23,614.68
  6. Step 6: Final answer
    x = 13,248.67

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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.