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Finding the Fourth Proportional to 16,265, 22,445.72 and 8,813

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Solution

The fourth proportional to 16,265, 22,445.72 and 8,813 is: 12,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265 : 22,445.72 = 8,813 : x
  2. Step 2: Convert to fraction form
    16,265/22,445.72 = 8,813/x
  3. Step 3: Cross multiply
    16,265x = 22,445.72 × 8,813
  4. Step 4: Simplify right side
    16,265x = 197,814,130.36
  5. Step 5: Solve for x
    x = 197,814,130.36/16,265
  6. Step 6: Final answer
    x = 12,161.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.