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Finding the Fourth Proportional to 16,564.18, 24,854.26 and 8,244.93

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Solution

The fourth proportional to 16,564.18, 24,854.26 and 8,244.93 is: 12,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.18 : 24,854.26 = 8,244.93 : x
  2. Step 2: Convert to fraction form
    16,564.18/24,854.26 = 8,244.93/x
  3. Step 3: Cross multiply
    16,564.18x = 24,854.26 × 8,244.93
  4. Step 4: Simplify right side
    16,564.18x = 204,921,512.41
  5. Step 5: Solve for x
    x = 204,921,512.41/16,564.18
  6. Step 6: Final answer
    x = 12,371.36

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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.