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Finding the Fourth Proportional to 15,304.72, 22,965.94 and 6,419.26

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Solution

The fourth proportional to 15,304.72, 22,965.94 and 6,419.26 is: 9,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304.72 : 22,965.94 = 6,419.26 : x
  2. Step 2: Convert to fraction form
    15,304.72/22,965.94 = 6,419.26/x
  3. Step 3: Cross multiply
    15,304.72x = 22,965.94 × 6,419.26
  4. Step 4: Simplify right side
    15,304.72x = 147,424,229.50
  5. Step 5: Solve for x
    x = 147,424,229.50/15,304.72
  6. Step 6: Final answer
    x = 9,632.60

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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.