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Finding the Fourth Proportional to 16,224.85, 22,385.05 and 9,053.60

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Solution

The fourth proportional to 16,224.85, 22,385.05 and 9,053.60 is: 12,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.85 : 22,385.05 = 9,053.60 : x
  2. Step 2: Convert to fraction form
    16,224.85/22,385.05 = 9,053.60/x
  3. Step 3: Cross multiply
    16,224.85x = 22,385.05 × 9,053.60
  4. Step 4: Simplify right side
    16,224.85x = 202,665,322.01
  5. Step 5: Solve for x
    x = 202,665,322.01/16,224.85
  6. Step 6: Final answer
    x = 12,491.05

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Why These Related Problems?

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