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Finding the Fourth Proportional to 21,797.76, 32,708.44 and 16,877

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Solution

The fourth proportional to 21,797.76, 32,708.44 and 16,877 is: 25,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.76 : 32,708.44 = 16,877 : x
  2. Step 2: Convert to fraction form
    21,797.76/32,708.44 = 16,877/x
  3. Step 3: Cross multiply
    21,797.76x = 32,708.44 × 16,877
  4. Step 4: Simplify right side
    21,797.76x = 552,020,341.88
  5. Step 5: Solve for x
    x = 552,020,341.88/21,797.76
  6. Step 6: Final answer
    x = 25,324.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.