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Finding the Fourth Proportional to 23,758.03, 35,602.89 and 10,414.90

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Solution

The fourth proportional to 23,758.03, 35,602.89 and 10,414.90 is: 15,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.03 : 35,602.89 = 10,414.90 : x
  2. Step 2: Convert to fraction form
    23,758.03/35,602.89 = 10,414.90/x
  3. Step 3: Cross multiply
    23,758.03x = 35,602.89 × 10,414.90
  4. Step 4: Simplify right side
    23,758.03x = 370,800,539.06
  5. Step 5: Solve for x
    x = 370,800,539.06/23,758.03
  6. Step 6: Final answer
    x = 15,607.38

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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.