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Finding the Fourth Proportional to 23,871.74, 35,806.07 and 7,232.31

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Solution

The fourth proportional to 23,871.74, 35,806.07 and 7,232.31 is: 10,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.74 : 35,806.07 = 7,232.31 : x
  2. Step 2: Convert to fraction form
    23,871.74/35,806.07 = 7,232.31/x
  3. Step 3: Cross multiply
    23,871.74x = 35,806.07 × 7,232.31
  4. Step 4: Simplify right side
    23,871.74x = 258,960,616.20
  5. Step 5: Solve for x
    x = 258,960,616.20/23,871.74
  6. Step 6: Final answer
    x = 10,848.00

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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.