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Finding the Fourth Proportional to 15,201.26, 22,801.72 and 4,813

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Solution

The fourth proportional to 15,201.26, 22,801.72 and 4,813 is: 7,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.26 : 22,801.72 = 4,813 : x
  2. Step 2: Convert to fraction form
    15,201.26/22,801.72 = 4,813/x
  3. Step 3: Cross multiply
    15,201.26x = 22,801.72 × 4,813
  4. Step 4: Simplify right side
    15,201.26x = 109,744,678.36
  5. Step 5: Solve for x
    x = 109,744,678.36/15,201.26
  6. Step 6: Final answer
    x = 7,219.45

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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.