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Finding the Fourth Proportional to 16,732.56, 23,084.55 and 9,656.40

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Solution

The fourth proportional to 16,732.56, 23,084.55 and 9,656.40 is: 13,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.56 : 23,084.55 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    16,732.56/23,084.55 = 9,656.40/x
  3. Step 3: Cross multiply
    16,732.56x = 23,084.55 × 9,656.40
  4. Step 4: Simplify right side
    16,732.56x = 222,913,648.62
  5. Step 5: Solve for x
    x = 222,913,648.62/16,732.56
  6. Step 6: Final answer
    x = 13,322.15

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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.