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Finding the Fourth Proportional to 14,547.21, 20,074.02 and 8,171.76

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Solution

The fourth proportional to 14,547.21, 20,074.02 and 8,171.76 is: 11,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.21 : 20,074.02 = 8,171.76 : x
  2. Step 2: Convert to fraction form
    14,547.21/20,074.02 = 8,171.76/x
  3. Step 3: Cross multiply
    14,547.21x = 20,074.02 × 8,171.76
  4. Step 4: Simplify right side
    14,547.21x = 164,040,073.68
  5. Step 5: Solve for x
    x = 164,040,073.68/14,547.21
  6. Step 6: Final answer
    x = 11,276.39

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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.