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Finding the Fourth Proportional to 23,211.10, 34,811.03 and 10,719.11

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Solution

The fourth proportional to 23,211.10, 34,811.03 and 10,719.11 is: 16,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,211.10 : 34,811.03 = 10,719.11 : x
  2. Step 2: Convert to fraction form
    23,211.10/34,811.03 = 10,719.11/x
  3. Step 3: Cross multiply
    23,211.10x = 34,811.03 × 10,719.11
  4. Step 4: Simplify right side
    23,211.10x = 373,143,085.73
  5. Step 5: Solve for x
    x = 373,143,085.73/23,211.10
  6. Step 6: Final answer
    x = 16,076.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.