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Finding the Fourth Proportional to 14,602.14, 20,149.71 and 8,226.69

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Solution

The fourth proportional to 14,602.14, 20,149.71 and 8,226.69 is: 11,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.14 : 20,149.71 = 8,226.69 : x
  2. Step 2: Convert to fraction form
    14,602.14/20,149.71 = 8,226.69/x
  3. Step 3: Cross multiply
    14,602.14x = 20,149.71 × 8,226.69
  4. Step 4: Simplify right side
    14,602.14x = 165,765,417.76
  5. Step 5: Solve for x
    x = 165,765,417.76/14,602.14
  6. Step 6: Final answer
    x = 11,352.13

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