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Finding the Fourth Proportional to 23,885.76, 35,822.88 and 7,469.76

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Solution

The fourth proportional to 23,885.76, 35,822.88 and 7,469.76 is: 11,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.76 : 35,822.88 = 7,469.76 : x
  2. Step 2: Convert to fraction form
    23,885.76/35,822.88 = 7,469.76/x
  3. Step 3: Cross multiply
    23,885.76x = 35,822.88 × 7,469.76
  4. Step 4: Simplify right side
    23,885.76x = 267,588,316.11
  5. Step 5: Solve for x
    x = 267,588,316.11/23,885.76
  6. Step 6: Final answer
    x = 11,202.84

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1.5x scale

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.