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Finding the Fourth Proportional to 15,872.42, 23,824.13 and 7,558.18

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Solution

The fourth proportional to 15,872.42, 23,824.13 and 7,558.18 is: 11,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.42 : 23,824.13 = 7,558.18 : x
  2. Step 2: Convert to fraction form
    15,872.42/23,824.13 = 7,558.18/x
  3. Step 3: Cross multiply
    15,872.42x = 23,824.13 × 7,558.18
  4. Step 4: Simplify right side
    15,872.42x = 180,066,965.53
  5. Step 5: Solve for x
    x = 180,066,965.53/15,872.42
  6. Step 6: Final answer
    x = 11,344.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.