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Finding the Fourth Proportional to 12,155.60, 18,235.32 and 5,230.16

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Solution

The fourth proportional to 12,155.60, 18,235.32 and 5,230.16 is: 7,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.60 : 18,235.32 = 5,230.16 : x
  2. Step 2: Convert to fraction form
    12,155.60/18,235.32 = 5,230.16/x
  3. Step 3: Cross multiply
    12,155.60x = 18,235.32 × 5,230.16
  4. Step 4: Simplify right side
    12,155.60x = 95,373,641.25
  5. Step 5: Solve for x
    x = 95,373,641.25/12,155.60
  6. Step 6: Final answer
    x = 7,846.07

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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.