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Finding the Fourth Proportional to 16,224.56, 22,385.66 and 9,506.57

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Solution

The fourth proportional to 16,224.56, 22,385.66 and 9,506.57 is: 13,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.56 : 22,385.66 = 9,506.57 : x
  2. Step 2: Convert to fraction form
    16,224.56/22,385.66 = 9,506.57/x
  3. Step 3: Cross multiply
    16,224.56x = 22,385.66 × 9,506.57
  4. Step 4: Simplify right side
    16,224.56x = 212,810,852.22
  5. Step 5: Solve for x
    x = 212,810,852.22/16,224.56
  6. Step 6: Final answer
    x = 13,116.59

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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.