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Finding the Fourth Proportional to 21,391.92, 32,089.50 and 5,809.68

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Solution

The fourth proportional to 21,391.92, 32,089.50 and 5,809.68 is: 8,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.92 : 32,089.50 = 5,809.68 : x
  2. Step 2: Convert to fraction form
    21,391.92/32,089.50 = 5,809.68/x
  3. Step 3: Cross multiply
    21,391.92x = 32,089.50 × 5,809.68
  4. Step 4: Simplify right side
    21,391.92x = 186,429,726.36
  5. Step 5: Solve for x
    x = 186,429,726.36/21,391.92
  6. Step 6: Final answer
    x = 8,714.96

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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.