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Finding the Fourth Proportional to 10,947.60, 16,392.96 and 9,188.32

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Solution

The fourth proportional to 10,947.60, 16,392.96 and 9,188.32 is: 13,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.60 : 16,392.96 = 9,188.32 : x
  2. Step 2: Convert to fraction form
    10,947.60/16,392.96 = 9,188.32/x
  3. Step 3: Cross multiply
    10,947.60x = 16,392.96 × 9,188.32
  4. Step 4: Simplify right side
    10,947.60x = 150,623,762.23
  5. Step 5: Solve for x
    x = 150,623,762.23/10,947.60
  6. Step 6: Final answer
    x = 13,758.61

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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.