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Finding the Fourth Proportional to 16,032.97, 24,049.88 and 7,597.50

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Solution

The fourth proportional to 16,032.97, 24,049.88 and 7,597.50 is: 11,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.97 : 24,049.88 = 7,597.50 : x
  2. Step 2: Convert to fraction form
    16,032.97/24,049.88 = 7,597.50/x
  3. Step 3: Cross multiply
    16,032.97x = 24,049.88 × 7,597.50
  4. Step 4: Simplify right side
    16,032.97x = 182,718,863.62
  5. Step 5: Solve for x
    x = 182,718,863.62/16,032.97
  6. Step 6: Final answer
    x = 11,396.44

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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.