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Finding the Fourth Proportional to 16,580.14, 22,880.60 and 9,026.53

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Solution

The fourth proportional to 16,580.14, 22,880.60 and 9,026.53 is: 12,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.14 : 22,880.60 = 9,026.53 : x
  2. Step 2: Convert to fraction form
    16,580.14/22,880.60 = 9,026.53/x
  3. Step 3: Cross multiply
    16,580.14x = 22,880.60 × 9,026.53
  4. Step 4: Simplify right side
    16,580.14x = 206,532,422.32
  5. Step 5: Solve for x
    x = 206,532,422.32/16,580.14
  6. Step 6: Final answer
    x = 12,456.62

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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.