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Finding the Fourth Proportional to 15,689.21, 23,538.42 and 6,324.42

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Solution

The fourth proportional to 15,689.21, 23,538.42 and 6,324.42 is: 9,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.21 : 23,538.42 = 6,324.42 : x
  2. Step 2: Convert to fraction form
    15,689.21/23,538.42 = 6,324.42/x
  3. Step 3: Cross multiply
    15,689.21x = 23,538.42 × 6,324.42
  4. Step 4: Simplify right side
    15,689.21x = 148,866,854.22
  5. Step 5: Solve for x
    x = 148,866,854.22/15,689.21
  6. Step 6: Final answer
    x = 9,488.49

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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.