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Finding the Fourth Proportional to 21,416.68, 32,124.38 and 20,833

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Solution

The fourth proportional to 21,416.68, 32,124.38 and 20,833 is: 31,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.68 : 32,124.38 = 20,833 : x
  2. Step 2: Convert to fraction form
    21,416.68/32,124.38 = 20,833/x
  3. Step 3: Cross multiply
    21,416.68x = 32,124.38 × 20,833
  4. Step 4: Simplify right side
    21,416.68x = 669,247,208.54
  5. Step 5: Solve for x
    x = 669,247,208.54/21,416.68
  6. Step 6: Final answer
    x = 31,248.88

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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.