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Finding the Fourth Proportional to 16,496.14, 24,752.89 and 9,005.06

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Solution

The fourth proportional to 16,496.14, 24,752.89 and 9,005.06 is: 13,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.14 : 24,752.89 = 9,005.06 : x
  2. Step 2: Convert to fraction form
    16,496.14/24,752.89 = 9,005.06/x
  3. Step 3: Cross multiply
    16,496.14x = 24,752.89 × 9,005.06
  4. Step 4: Simplify right side
    16,496.14x = 222,901,259.62
  5. Step 5: Solve for x
    x = 222,901,259.62/16,496.14
  6. Step 6: Final answer
    x = 13,512.33

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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.