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Finding the Fourth Proportional to 15,339.96, 23,004.96 and 4,949.28

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Solution

The fourth proportional to 15,339.96, 23,004.96 and 4,949.28 is: 7,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339.96 : 23,004.96 = 4,949.28 : x
  2. Step 2: Convert to fraction form
    15,339.96/23,004.96 = 4,949.28/x
  3. Step 3: Cross multiply
    15,339.96x = 23,004.96 × 4,949.28
  4. Step 4: Simplify right side
    15,339.96x = 113,857,988.43
  5. Step 5: Solve for x
    x = 113,857,988.43/15,339.96
  6. Step 6: Final answer
    x = 7,422.31

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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.