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Finding the Fourth Proportional to 16,580.25, 22,880.75 and 9,128.25

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Solution

The fourth proportional to 16,580.25, 22,880.75 and 9,128.25 is: 12,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.25 : 22,880.75 = 9,128.25 : x
  2. Step 2: Convert to fraction form
    16,580.25/22,880.75 = 9,128.25/x
  3. Step 3: Cross multiply
    16,580.25x = 22,880.75 × 9,128.25
  4. Step 4: Simplify right side
    16,580.25x = 208,861,160.55
  5. Step 5: Solve for x
    x = 208,861,160.55/16,580.25
  6. Step 6: Final answer
    x = 12,596.99

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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.