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Finding the Fourth Proportional to 16,284.25, 24,409.32 and 7,524.91

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Solution

The fourth proportional to 16,284.25, 24,409.32 and 7,524.91 is: 11,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.25 : 24,409.32 = 7,524.91 : x
  2. Step 2: Convert to fraction form
    16,284.25/24,409.32 = 7,524.91/x
  3. Step 3: Cross multiply
    16,284.25x = 24,409.32 × 7,524.91
  4. Step 4: Simplify right side
    16,284.25x = 183,677,936.16
  5. Step 5: Solve for x
    x = 183,677,936.16/16,284.25
  6. Step 6: Final answer
    x = 11,279.48

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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.