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Finding the Fourth Proportional to 16,511.78, 24,773.13 and 6,645.98

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Solution

The fourth proportional to 16,511.78, 24,773.13 and 6,645.98 is: 9,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.78 : 24,773.13 = 6,645.98 : x
  2. Step 2: Convert to fraction form
    16,511.78/24,773.13 = 6,645.98/x
  3. Step 3: Cross multiply
    16,511.78x = 24,773.13 × 6,645.98
  4. Step 4: Simplify right side
    16,511.78x = 164,641,602.65
  5. Step 5: Solve for x
    x = 164,641,602.65/16,511.78
  6. Step 6: Final answer
    x = 9,971.16

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Why These Related Problems?

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