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Finding the Fourth Proportional to 23,146, 34,719.02 and 5,615.83

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Solution

The fourth proportional to 23,146, 34,719.02 and 5,615.83 is: 8,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146 : 34,719.02 = 5,615.83 : x
  2. Step 2: Convert to fraction form
    23,146/34,719.02 = 5,615.83/x
  3. Step 3: Cross multiply
    23,146x = 34,719.02 × 5,615.83
  4. Step 4: Simplify right side
    23,146x = 194,976,114.09
  5. Step 5: Solve for x
    x = 194,976,114.09/23,146
  6. Step 6: Final answer
    x = 8,423.75

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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.