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Finding the Fourth Proportional to 16,369.71, 24,556.14 and 6,506.77

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Solution

The fourth proportional to 16,369.71, 24,556.14 and 6,506.77 is: 9,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.71 : 24,556.14 = 6,506.77 : x
  2. Step 2: Convert to fraction form
    16,369.71/24,556.14 = 6,506.77/x
  3. Step 3: Cross multiply
    16,369.71x = 24,556.14 × 6,506.77
  4. Step 4: Simplify right side
    16,369.71x = 159,781,155.07
  5. Step 5: Solve for x
    x = 159,781,155.07/16,369.71
  6. Step 6: Final answer
    x = 9,760.78

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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.