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Finding the Fourth Proportional to 23,680.72, 35,526.85 and 7,885.72

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Solution

The fourth proportional to 23,680.72, 35,526.85 and 7,885.72 is: 11,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.72 : 35,526.85 = 7,885.72 : x
  2. Step 2: Convert to fraction form
    23,680.72/35,526.85 = 7,885.72/x
  3. Step 3: Cross multiply
    23,680.72x = 35,526.85 × 7,885.72
  4. Step 4: Simplify right side
    23,680.72x = 280,154,791.58
  5. Step 5: Solve for x
    x = 280,154,791.58/23,680.72
  6. Step 6: Final answer
    x = 11,830.50

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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.