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Finding the Fourth Proportional to 23,855.16, 35,787.91 and 9,064.36

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Solution

The fourth proportional to 23,855.16, 35,787.91 and 9,064.36 is: 13,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.16 : 35,787.91 = 9,064.36 : x
  2. Step 2: Convert to fraction form
    23,855.16/35,787.91 = 9,064.36/x
  3. Step 3: Cross multiply
    23,855.16x = 35,787.91 × 9,064.36
  4. Step 4: Simplify right side
    23,855.16x = 324,394,499.89
  5. Step 5: Solve for x
    x = 324,394,499.89/23,855.16
  6. Step 6: Final answer
    x = 13,598.50

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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.