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Finding the Fourth Proportional to 15,363.14, 23,043.90 and 4,974.08

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Solution

The fourth proportional to 15,363.14, 23,043.90 and 4,974.08 is: 7,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363.14 : 23,043.90 = 4,974.08 : x
  2. Step 2: Convert to fraction form
    15,363.14/23,043.90 = 4,974.08/x
  3. Step 3: Cross multiply
    15,363.14x = 23,043.90 × 4,974.08
  4. Step 4: Simplify right side
    15,363.14x = 114,622,202.11
  5. Step 5: Solve for x
    x = 114,622,202.11/15,363.14
  6. Step 6: Final answer
    x = 7,460.86

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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.