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Finding the Fourth Proportional to 23,125.50, 34,689.87 and 9,274.50

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Solution

The fourth proportional to 23,125.50, 34,689.87 and 9,274.50 is: 13,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.50 : 34,689.87 = 9,274.50 : x
  2. Step 2: Convert to fraction form
    23,125.50/34,689.87 = 9,274.50/x
  3. Step 3: Cross multiply
    23,125.50x = 34,689.87 × 9,274.50
  4. Step 4: Simplify right side
    23,125.50x = 321,731,199.32
  5. Step 5: Solve for x
    x = 321,731,199.32/23,125.50
  6. Step 6: Final answer
    x = 13,912.40

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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.