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Finding the Fourth Proportional to 16,823.64, 25,196.58 and 16,240.44

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Solution

The fourth proportional to 16,823.64, 25,196.58 and 16,240.44 is: 24,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.64 : 25,196.58 = 16,240.44 : x
  2. Step 2: Convert to fraction form
    16,823.64/25,196.58 = 16,240.44/x
  3. Step 3: Cross multiply
    16,823.64x = 25,196.58 × 16,240.44
  4. Step 4: Simplify right side
    16,823.64x = 409,203,545.70
  5. Step 5: Solve for x
    x = 409,203,545.70/16,823.64
  6. Step 6: Final answer
    x = 24,323.13

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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.