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Finding the Fourth Proportional to 16,005.61, 24,006.61 and 6,137.96

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Solution

The fourth proportional to 16,005.61, 24,006.61 and 6,137.96 is: 9,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.61 : 24,006.61 = 6,137.96 : x
  2. Step 2: Convert to fraction form
    16,005.61/24,006.61 = 6,137.96/x
  3. Step 3: Cross multiply
    16,005.61x = 24,006.61 × 6,137.96
  4. Step 4: Simplify right side
    16,005.61x = 147,351,634.59
  5. Step 5: Solve for x
    x = 147,351,634.59/16,005.61
  6. Step 6: Final answer
    x = 9,206.25

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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.