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Finding the Fourth Proportional to 15,375.78, 23,051.84 and 7,049.80

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Solution

The fourth proportional to 15,375.78, 23,051.84 and 7,049.80 is: 10,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,375.78 : 23,051.84 = 7,049.80 : x
  2. Step 2: Convert to fraction form
    15,375.78/23,051.84 = 7,049.80/x
  3. Step 3: Cross multiply
    15,375.78x = 23,051.84 × 7,049.80
  4. Step 4: Simplify right side
    15,375.78x = 162,510,861.63
  5. Step 5: Solve for x
    x = 162,510,861.63/15,375.78
  6. Step 6: Final answer
    x = 10,569.28

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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.