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Finding the Fourth Proportional to 16,222.30, 22,385.03 and 9,506.59

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Solution

The fourth proportional to 16,222.30, 22,385.03 and 9,506.59 is: 13,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.30 : 22,385.03 = 9,506.59 : x
  2. Step 2: Convert to fraction form
    16,222.30/22,385.03 = 9,506.59/x
  3. Step 3: Cross multiply
    16,222.30x = 22,385.03 × 9,506.59
  4. Step 4: Simplify right side
    16,222.30x = 212,805,198.85
  5. Step 5: Solve for x
    x = 212,805,198.85/16,222.30
  6. Step 6: Final answer
    x = 13,118.07

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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.