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Finding the Fourth Proportional to 15,588.70, 23,383.14 and 5,200.42

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Solution

The fourth proportional to 15,588.70, 23,383.14 and 5,200.42 is: 7,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.70 : 23,383.14 = 5,200.42 : x
  2. Step 2: Convert to fraction form
    15,588.70/23,383.14 = 5,200.42/x
  3. Step 3: Cross multiply
    15,588.70x = 23,383.14 × 5,200.42
  4. Step 4: Simplify right side
    15,588.70x = 121,602,148.92
  5. Step 5: Solve for x
    x = 121,602,148.92/15,588.70
  6. Step 6: Final answer
    x = 7,800.66

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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.