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Finding the Fourth Proportional to 16,224.54, 22,385.61 and 9,506.56

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Solution

The fourth proportional to 16,224.54, 22,385.61 and 9,506.56 is: 13,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.54 : 22,385.61 = 9,506.56 : x
  2. Step 2: Convert to fraction form
    16,224.54/22,385.61 = 9,506.56/x
  3. Step 3: Cross multiply
    16,224.54x = 22,385.61 × 9,506.56
  4. Step 4: Simplify right side
    16,224.54x = 212,810,208.23
  5. Step 5: Solve for x
    x = 212,810,208.23/16,224.54
  6. Step 6: Final answer
    x = 13,116.57

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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.