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Finding the Fourth Proportional to 12,535.60, 18,794.16 and 7,604.32

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Solution

The fourth proportional to 12,535.60, 18,794.16 and 7,604.32 is: 11,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.60 : 18,794.16 = 7,604.32 : x
  2. Step 2: Convert to fraction form
    12,535.60/18,794.16 = 7,604.32/x
  3. Step 3: Cross multiply
    12,535.60x = 18,794.16 × 7,604.32
  4. Step 4: Simplify right side
    12,535.60x = 142,916,806.77
  5. Step 5: Solve for x
    x = 142,916,806.77/12,535.60
  6. Step 6: Final answer
    x = 11,400.87

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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.