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Finding the Fourth Proportional to 24,205.84, 36,307.81 and 6,675.19

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Solution

The fourth proportional to 24,205.84, 36,307.81 and 6,675.19 is: 10,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.84 : 36,307.81 = 6,675.19 : x
  2. Step 2: Convert to fraction form
    24,205.84/36,307.81 = 6,675.19/x
  3. Step 3: Cross multiply
    24,205.84x = 36,307.81 × 6,675.19
  4. Step 4: Simplify right side
    24,205.84x = 242,361,530.23
  5. Step 5: Solve for x
    x = 242,361,530.23/24,205.84
  6. Step 6: Final answer
    x = 10,012.52

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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.