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Finding the Fourth Proportional to 15,568.88, 23,358 and 7,253.84

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Solution

The fourth proportional to 15,568.88, 23,358 and 7,253.84 is: 10,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,568.88 : 23,358 = 7,253.84 : x
  2. Step 2: Convert to fraction form
    15,568.88/23,358 = 7,253.84/x
  3. Step 3: Cross multiply
    15,568.88x = 23,358 × 7,253.84
  4. Step 4: Simplify right side
    15,568.88x = 169,435,194.72
  5. Step 5: Solve for x
    x = 169,435,194.72/15,568.88
  6. Step 6: Final answer
    x = 10,882.94

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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.