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Finding the Fourth Proportional to 15,337, 23,010.90 and 7,551.28

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Solution

The fourth proportional to 15,337, 23,010.90 and 7,551.28 is: 11,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337 : 23,010.90 = 7,551.28 : x
  2. Step 2: Convert to fraction form
    15,337/23,010.90 = 7,551.28/x
  3. Step 3: Cross multiply
    15,337x = 23,010.90 × 7,551.28
  4. Step 4: Simplify right side
    15,337x = 173,761,748.95
  5. Step 5: Solve for x
    x = 173,761,748.95/15,337
  6. Step 6: Final answer
    x = 11,329.58

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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.