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Finding the Fourth Proportional to 15,732.44, 23,598.11 and 4,638.68

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Solution

The fourth proportional to 15,732.44, 23,598.11 and 4,638.68 is: 6,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.44 : 23,598.11 = 4,638.68 : x
  2. Step 2: Convert to fraction form
    15,732.44/23,598.11 = 4,638.68/x
  3. Step 3: Cross multiply
    15,732.44x = 23,598.11 × 4,638.68
  4. Step 4: Simplify right side
    15,732.44x = 109,463,974.50
  5. Step 5: Solve for x
    x = 109,463,974.50/15,732.44
  6. Step 6: Final answer
    x = 6,957.85

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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.