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Finding the Fourth Proportional to 12,493.16, 18,730.47 and 7,561.64

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Solution

The fourth proportional to 12,493.16, 18,730.47 and 7,561.64 is: 11,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.16 : 18,730.47 = 7,561.64 : x
  2. Step 2: Convert to fraction form
    12,493.16/18,730.47 = 7,561.64/x
  3. Step 3: Cross multiply
    12,493.16x = 18,730.47 × 7,561.64
  4. Step 4: Simplify right side
    12,493.16x = 141,632,986.54
  5. Step 5: Solve for x
    x = 141,632,986.54/12,493.16
  6. Step 6: Final answer
    x = 11,336.85

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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.