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Finding the Fourth Proportional to 21,204.66, 31,746.51 and 16,828.50

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Solution

The fourth proportional to 21,204.66, 31,746.51 and 16,828.50 is: 25,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.66 : 31,746.51 = 16,828.50 : x
  2. Step 2: Convert to fraction form
    21,204.66/31,746.51 = 16,828.50/x
  3. Step 3: Cross multiply
    21,204.66x = 31,746.51 × 16,828.50
  4. Step 4: Simplify right side
    21,204.66x = 534,246,143.54
  5. Step 5: Solve for x
    x = 534,246,143.54/21,204.66
  6. Step 6: Final answer
    x = 25,194.75

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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.