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Finding the Fourth Proportional to 15,797.34, 23,700.33 and 6,431.58

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Solution

The fourth proportional to 15,797.34, 23,700.33 and 6,431.58 is: 9,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.34 : 23,700.33 = 6,431.58 : x
  2. Step 2: Convert to fraction form
    15,797.34/23,700.33 = 6,431.58/x
  3. Step 3: Cross multiply
    15,797.34x = 23,700.33 × 6,431.58
  4. Step 4: Simplify right side
    15,797.34x = 152,430,568.42
  5. Step 5: Solve for x
    x = 152,430,568.42/15,797.34
  6. Step 6: Final answer
    x = 9,649.13

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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.