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Finding the Fourth Proportional to 16,027.83, 24,041.75 and 7,702.65

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Solution

The fourth proportional to 16,027.83, 24,041.75 and 7,702.65 is: 11,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.83 : 24,041.75 = 7,702.65 : x
  2. Step 2: Convert to fraction form
    16,027.83/24,041.75 = 7,702.65/x
  3. Step 3: Cross multiply
    16,027.83x = 24,041.75 × 7,702.65
  4. Step 4: Simplify right side
    16,027.83x = 185,185,147.12
  5. Step 5: Solve for x
    x = 185,185,147.12/16,027.83
  6. Step 6: Final answer
    x = 11,553.98

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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.