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Finding the Fourth Proportional to 15,646.53, 23,469.39 and 5,258.28

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Solution

The fourth proportional to 15,646.53, 23,469.39 and 5,258.28 is: 7,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.53 : 23,469.39 = 5,258.28 : x
  2. Step 2: Convert to fraction form
    15,646.53/23,469.39 = 5,258.28/x
  3. Step 3: Cross multiply
    15,646.53x = 23,469.39 × 5,258.28
  4. Step 4: Simplify right side
    15,646.53x = 123,408,624.05
  5. Step 5: Solve for x
    x = 123,408,624.05/15,646.53
  6. Step 6: Final answer
    x = 7,887.28

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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.