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Finding the Fourth Proportional to 21,516.58, 32,246.97 and 9,661.60

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Solution

The fourth proportional to 21,516.58, 32,246.97 and 9,661.60 is: 14,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.58 : 32,246.97 = 9,661.60 : x
  2. Step 2: Convert to fraction form
    21,516.58/32,246.97 = 9,661.60/x
  3. Step 3: Cross multiply
    21,516.58x = 32,246.97 × 9,661.60
  4. Step 4: Simplify right side
    21,516.58x = 311,557,325.35
  5. Step 5: Solve for x
    x = 311,557,325.35/21,516.58
  6. Step 6: Final answer
    x = 14,479.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.