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Finding the Fourth Proportional to 12,011.60, 17,993.52 and 9,402.32

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Solution

The fourth proportional to 12,011.60, 17,993.52 and 9,402.32 is: 14,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.60 : 17,993.52 = 9,402.32 : x
  2. Step 2: Convert to fraction form
    12,011.60/17,993.52 = 9,402.32/x
  3. Step 3: Cross multiply
    12,011.60x = 17,993.52 × 9,402.32
  4. Step 4: Simplify right side
    12,011.60x = 169,180,832.97
  5. Step 5: Solve for x
    x = 169,180,832.97/12,011.60
  6. Step 6: Final answer
    x = 14,084.79

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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.