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Finding the Fourth Proportional to 15,261.16, 22,880.22 and 7,855.72

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Solution

The fourth proportional to 15,261.16, 22,880.22 and 7,855.72 is: 11,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261.16 : 22,880.22 = 7,855.72 : x
  2. Step 2: Convert to fraction form
    15,261.16/22,880.22 = 7,855.72/x
  3. Step 3: Cross multiply
    15,261.16x = 22,880.22 × 7,855.72
  4. Step 4: Simplify right side
    15,261.16x = 179,740,601.86
  5. Step 5: Solve for x
    x = 179,740,601.86/15,261.16
  6. Step 6: Final answer
    x = 11,777.65

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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.