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Finding the Fourth Proportional to 14,405.58, 19,878.84 and 8,031.78

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Solution

The fourth proportional to 14,405.58, 19,878.84 and 8,031.78 is: 11,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.58 : 19,878.84 = 8,031.78 : x
  2. Step 2: Convert to fraction form
    14,405.58/19,878.84 = 8,031.78/x
  3. Step 3: Cross multiply
    14,405.58x = 19,878.84 × 8,031.78
  4. Step 4: Simplify right side
    14,405.58x = 159,662,469.54
  5. Step 5: Solve for x
    x = 159,662,469.54/14,405.58
  6. Step 6: Final answer
    x = 11,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.