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Finding the Fourth Proportional to 19,710.72, 29,564.16 and 5,859.84

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Solution

The fourth proportional to 19,710.72, 29,564.16 and 5,859.84 is: 8,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.72 : 29,564.16 = 5,859.84 : x
  2. Step 2: Convert to fraction form
    19,710.72/29,564.16 = 5,859.84/x
  3. Step 3: Cross multiply
    19,710.72x = 29,564.16 × 5,859.84
  4. Step 4: Simplify right side
    19,710.72x = 173,241,247.33
  5. Step 5: Solve for x
    x = 173,241,247.33/19,710.72
  6. Step 6: Final answer
    x = 8,789.19

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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.