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Finding the Fourth Proportional to 14,101.71, 19,464.21 and 8,793.38

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Solution

The fourth proportional to 14,101.71, 19,464.21 and 8,793.38 is: 12,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.71 : 19,464.21 = 8,793.38 : x
  2. Step 2: Convert to fraction form
    14,101.71/19,464.21 = 8,793.38/x
  3. Step 3: Cross multiply
    14,101.71x = 19,464.21 × 8,793.38
  4. Step 4: Simplify right side
    14,101.71x = 171,156,097.61
  5. Step 5: Solve for x
    x = 171,156,097.61/14,101.71
  6. Step 6: Final answer
    x = 12,137.26

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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.