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Finding the Fourth Proportional to 21,580.15, 32,382.78 and 9,099.40

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Solution

The fourth proportional to 21,580.15, 32,382.78 and 9,099.40 is: 13,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.15 : 32,382.78 = 9,099.40 : x
  2. Step 2: Convert to fraction form
    21,580.15/32,382.78 = 9,099.40/x
  3. Step 3: Cross multiply
    21,580.15x = 32,382.78 × 9,099.40
  4. Step 4: Simplify right side
    21,580.15x = 294,663,868.33
  5. Step 5: Solve for x
    x = 294,663,868.33/21,580.15
  6. Step 6: Final answer
    x = 13,654.39

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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.