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Finding the Fourth Proportional to 16,552.84, 24,793.58 and 7,774.60

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Solution

The fourth proportional to 16,552.84, 24,793.58 and 7,774.60 is: 11,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.84 : 24,793.58 = 7,774.60 : x
  2. Step 2: Convert to fraction form
    16,552.84/24,793.58 = 7,774.60/x
  3. Step 3: Cross multiply
    16,552.84x = 24,793.58 × 7,774.60
  4. Step 4: Simplify right side
    16,552.84x = 192,760,167.07
  5. Step 5: Solve for x
    x = 192,760,167.07/16,552.84
  6. Step 6: Final answer
    x = 11,645.14

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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.