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Finding the Fourth Proportional to 23,882.70, 35,828.40 and 7,873.14

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Solution

The fourth proportional to 23,882.70, 35,828.40 and 7,873.14 is: 11,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.70 : 35,828.40 = 7,873.14 : x
  2. Step 2: Convert to fraction form
    23,882.70/35,828.40 = 7,873.14/x
  3. Step 3: Cross multiply
    23,882.70x = 35,828.40 × 7,873.14
  4. Step 4: Simplify right side
    23,882.70x = 282,082,009.18
  5. Step 5: Solve for x
    x = 282,082,009.18/23,882.70
  6. Step 6: Final answer
    x = 11,811.14

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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.