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Finding the Fourth Proportional to 14,691.80, 20,277.87 and 9,029.51

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Solution

The fourth proportional to 14,691.80, 20,277.87 and 9,029.51 is: 12,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.80 : 20,277.87 = 9,029.51 : x
  2. Step 2: Convert to fraction form
    14,691.80/20,277.87 = 9,029.51/x
  3. Step 3: Cross multiply
    14,691.80x = 20,277.87 × 9,029.51
  4. Step 4: Simplify right side
    14,691.80x = 183,099,229.94
  5. Step 5: Solve for x
    x = 183,099,229.94/14,691.80
  6. Step 6: Final answer
    x = 12,462.69

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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.