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Finding the Fourth Proportional to 15,588.72, 23,383.16 and 5,200.44

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Solution

The fourth proportional to 15,588.72, 23,383.16 and 5,200.44 is: 7,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.72 : 23,383.16 = 5,200.44 : x
  2. Step 2: Convert to fraction form
    15,588.72/23,383.16 = 5,200.44/x
  3. Step 3: Cross multiply
    15,588.72x = 23,383.16 × 5,200.44
  4. Step 4: Simplify right side
    15,588.72x = 121,602,720.59
  5. Step 5: Solve for x
    x = 121,602,720.59/15,588.72
  6. Step 6: Final answer
    x = 7,800.69

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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.