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Finding the Fourth Proportional to 16,199.11, 24,277.80 and 7,862.99

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Solution

The fourth proportional to 16,199.11, 24,277.80 and 7,862.99 is: 11,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.11 : 24,277.80 = 7,862.99 : x
  2. Step 2: Convert to fraction form
    16,199.11/24,277.80 = 7,862.99/x
  3. Step 3: Cross multiply
    16,199.11x = 24,277.80 × 7,862.99
  4. Step 4: Simplify right side
    16,199.11x = 190,896,098.62
  5. Step 5: Solve for x
    x = 190,896,098.62/16,199.11
  6. Step 6: Final answer
    x = 11,784.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.