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Finding the Fourth Proportional to 16,174.98, 24,254.78 and 5,643.72

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Solution

The fourth proportional to 16,174.98, 24,254.78 and 5,643.72 is: 8,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.98 : 24,254.78 = 5,643.72 : x
  2. Step 2: Convert to fraction form
    16,174.98/24,254.78 = 5,643.72/x
  3. Step 3: Cross multiply
    16,174.98x = 24,254.78 × 5,643.72
  4. Step 4: Simplify right side
    16,174.98x = 136,887,186.98
  5. Step 5: Solve for x
    x = 136,887,186.98/16,174.98
  6. Step 6: Final answer
    x = 8,462.90

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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.