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Finding the Fourth Proportional to 16,566.53, 24,835.75 and 7,199.50

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Solution

The fourth proportional to 16,566.53, 24,835.75 and 7,199.50 is: 10,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.53 : 24,835.75 = 7,199.50 : x
  2. Step 2: Convert to fraction form
    16,566.53/24,835.75 = 7,199.50/x
  3. Step 3: Cross multiply
    16,566.53x = 24,835.75 × 7,199.50
  4. Step 4: Simplify right side
    16,566.53x = 178,804,982.13
  5. Step 5: Solve for x
    x = 178,804,982.13/16,566.53
  6. Step 6: Final answer
    x = 10,793.15

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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.