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Finding the Fourth Proportional to 21,708.30, 32,564.82 and 6,913.77

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Solution

The fourth proportional to 21,708.30, 32,564.82 and 6,913.77 is: 10,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.30 : 32,564.82 = 6,913.77 : x
  2. Step 2: Convert to fraction form
    21,708.30/32,564.82 = 6,913.77/x
  3. Step 3: Cross multiply
    21,708.30x = 32,564.82 × 6,913.77
  4. Step 4: Simplify right side
    21,708.30x = 225,145,723.67
  5. Step 5: Solve for x
    x = 225,145,723.67/21,708.30
  6. Step 6: Final answer
    x = 10,371.41

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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.