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Finding the Fourth Proportional to 23,126, 34,696.78 and 7,333.60

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Solution

The fourth proportional to 23,126, 34,696.78 and 7,333.60 is: 11,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126 : 34,696.78 = 7,333.60 : x
  2. Step 2: Convert to fraction form
    23,126/34,696.78 = 7,333.60/x
  3. Step 3: Cross multiply
    23,126x = 34,696.78 × 7,333.60
  4. Step 4: Simplify right side
    23,126x = 254,452,305.81
  5. Step 5: Solve for x
    x = 254,452,305.81/23,126
  6. Step 6: Final answer
    x = 11,002.87

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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.