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Finding the Fourth Proportional to 24,861.34, 37,290.79 and 9,277.75

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Solution

The fourth proportional to 24,861.34, 37,290.79 and 9,277.75 is: 13,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.34 : 37,290.79 = 9,277.75 : x
  2. Step 2: Convert to fraction form
    24,861.34/37,290.79 = 9,277.75/x
  3. Step 3: Cross multiply
    24,861.34x = 37,290.79 × 9,277.75
  4. Step 4: Simplify right side
    24,861.34x = 345,974,626.92
  5. Step 5: Solve for x
    x = 345,974,626.92/24,861.34
  6. Step 6: Final answer
    x = 13,916.17

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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.