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Finding the Fourth Proportional to 23,763.18, 35,650.74 and 7,123.20

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Solution

The fourth proportional to 23,763.18, 35,650.74 and 7,123.20 is: 10,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.18 : 35,650.74 = 7,123.20 : x
  2. Step 2: Convert to fraction form
    23,763.18/35,650.74 = 7,123.20/x
  3. Step 3: Cross multiply
    23,763.18x = 35,650.74 × 7,123.20
  4. Step 4: Simplify right side
    23,763.18x = 253,947,351.17
  5. Step 5: Solve for x
    x = 253,947,351.17/23,763.18
  6. Step 6: Final answer
    x = 10,686.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.