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Finding the Fourth Proportional to 16,586.32, 24,878.60 and 6,197.24

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Solution

The fourth proportional to 16,586.32, 24,878.60 and 6,197.24 is: 9,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.32 : 24,878.60 = 6,197.24 : x
  2. Step 2: Convert to fraction form
    16,586.32/24,878.60 = 6,197.24/x
  3. Step 3: Cross multiply
    16,586.32x = 24,878.60 × 6,197.24
  4. Step 4: Simplify right side
    16,586.32x = 154,178,655.06
  5. Step 5: Solve for x
    x = 154,178,655.06/16,586.32
  6. Step 6: Final answer
    x = 9,295.53

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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.