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Finding the Fourth Proportional to 12,099.60, 18,152.10 and 9,475.20

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Solution

The fourth proportional to 12,099.60, 18,152.10 and 9,475.20 is: 14,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.60 : 18,152.10 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    12,099.60/18,152.10 = 9,475.20/x
  3. Step 3: Cross multiply
    12,099.60x = 18,152.10 × 9,475.20
  4. Step 4: Simplify right side
    12,099.60x = 171,994,777.92
  5. Step 5: Solve for x
    x = 171,994,777.92/12,099.60
  6. Step 6: Final answer
    x = 14,214.91

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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.