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Finding the Fourth Proportional to 16,043.68, 24,026.28 and 9,806.32

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Solution

The fourth proportional to 16,043.68, 24,026.28 and 9,806.32 is: 14,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.68 : 24,026.28 = 9,806.32 : x
  2. Step 2: Convert to fraction form
    16,043.68/24,026.28 = 9,806.32/x
  3. Step 3: Cross multiply
    16,043.68x = 24,026.28 × 9,806.32
  4. Step 4: Simplify right side
    16,043.68x = 235,609,390.09
  5. Step 5: Solve for x
    x = 235,609,390.09/16,043.68
  6. Step 6: Final answer
    x = 14,685.50

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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.