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Finding the Fourth Proportional to 23,564.96, 35,338.08 and 10,408

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Solution

The fourth proportional to 23,564.96, 35,338.08 and 10,408 is: 15,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.96 : 35,338.08 = 10,408 : x
  2. Step 2: Convert to fraction form
    23,564.96/35,338.08 = 10,408/x
  3. Step 3: Cross multiply
    23,564.96x = 35,338.08 × 10,408
  4. Step 4: Simplify right side
    23,564.96x = 367,798,736.64
  5. Step 5: Solve for x
    x = 367,798,736.64/23,564.96
  6. Step 6: Final answer
    x = 15,607.87

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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.