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Finding the Fourth Proportional to 16,706.52, 23,055.66 and 9,633.60

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Solution

The fourth proportional to 16,706.52, 23,055.66 and 9,633.60 is: 13,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.52 : 23,055.66 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    16,706.52/23,055.66 = 9,633.60/x
  3. Step 3: Cross multiply
    16,706.52x = 23,055.66 × 9,633.60
  4. Step 4: Simplify right side
    16,706.52x = 222,109,006.18
  5. Step 5: Solve for x
    x = 222,109,006.18/16,706.52
  6. Step 6: Final answer
    x = 13,294.75

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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.