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Finding the Fourth Proportional to 23,205.36, 34,809.87 and 9,164.42

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Solution

The fourth proportional to 23,205.36, 34,809.87 and 9,164.42 is: 13,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.36 : 34,809.87 = 9,164.42 : x
  2. Step 2: Convert to fraction form
    23,205.36/34,809.87 = 9,164.42/x
  3. Step 3: Cross multiply
    23,205.36x = 34,809.87 × 9,164.42
  4. Step 4: Simplify right side
    23,205.36x = 319,012,094.78
  5. Step 5: Solve for x
    x = 319,012,094.78/23,205.36
  6. Step 6: Final answer
    x = 13,747.35

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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.