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Finding the Fourth Proportional to 22,662.60, 34,007.16 and 9,513.84

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Solution

The fourth proportional to 22,662.60, 34,007.16 and 9,513.84 is: 14,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.60 : 34,007.16 = 9,513.84 : x
  2. Step 2: Convert to fraction form
    22,662.60/34,007.16 = 9,513.84/x
  3. Step 3: Cross multiply
    22,662.60x = 34,007.16 × 9,513.84
  4. Step 4: Simplify right side
    22,662.60x = 323,538,679.09
  5. Step 5: Solve for x
    x = 323,538,679.09/22,662.60
  6. Step 6: Final answer
    x = 14,276.33

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Why These Related Problems?

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