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Finding the Fourth Proportional to 14,561.31, 20,067.95 and 10,575.50

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Solution

The fourth proportional to 14,561.31, 20,067.95 and 10,575.50 is: 14,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.31 : 20,067.95 = 10,575.50 : x
  2. Step 2: Convert to fraction form
    14,561.31/20,067.95 = 10,575.50/x
  3. Step 3: Cross multiply
    14,561.31x = 20,067.95 × 10,575.50
  4. Step 4: Simplify right side
    14,561.31x = 212,228,452.01
  5. Step 5: Solve for x
    x = 212,228,452.01/14,561.31
  6. Step 6: Final answer
    x = 14,574.82

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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.