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Finding the Fourth Proportional to 14,542.13, 20,069.57 and 8,575.74

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Solution

The fourth proportional to 14,542.13, 20,069.57 and 8,575.74 is: 11,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.13 : 20,069.57 = 8,575.74 : x
  2. Step 2: Convert to fraction form
    14,542.13/20,069.57 = 8,575.74/x
  3. Step 3: Cross multiply
    14,542.13x = 20,069.57 × 8,575.74
  4. Step 4: Simplify right side
    14,542.13x = 172,111,435.67
  5. Step 5: Solve for x
    x = 172,111,435.67/14,542.13
  6. Step 6: Final answer
    x = 11,835.36

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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.