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Finding the Fourth Proportional to 34,667.12, 52,005 and 11,287.28

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Solution

The fourth proportional to 34,667.12, 52,005 and 11,287.28 is: 16,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,667.12 : 52,005 = 11,287.28 : x
  2. Step 2: Convert to fraction form
    34,667.12/52,005 = 11,287.28/x
  3. Step 3: Cross multiply
    34,667.12x = 52,005 × 11,287.28
  4. Step 4: Simplify right side
    34,667.12x = 586,994,996.40
  5. Step 5: Solve for x
    x = 586,994,996.40/34,667.12
  6. Step 6: Final answer
    x = 16,932.33

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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.