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Finding the Fourth Proportional to 10,967.60, 16,427.10 and 9,023.60

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Solution

The fourth proportional to 10,967.60, 16,427.10 and 9,023.60 is: 13,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.60 : 16,427.10 = 9,023.60 : x
  2. Step 2: Convert to fraction form
    10,967.60/16,427.10 = 9,023.60/x
  3. Step 3: Cross multiply
    10,967.60x = 16,427.10 × 9,023.60
  4. Step 4: Simplify right side
    10,967.60x = 148,231,579.56
  5. Step 5: Solve for x
    x = 148,231,579.56/10,967.60
  6. Step 6: Final answer
    x = 13,515.41

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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.