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Finding the Fourth Proportional to 16,134.92, 24,208.59 and 7,814.30

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Solution

The fourth proportional to 16,134.92, 24,208.59 and 7,814.30 is: 11,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.92 : 24,208.59 = 7,814.30 : x
  2. Step 2: Convert to fraction form
    16,134.92/24,208.59 = 7,814.30/x
  3. Step 3: Cross multiply
    16,134.92x = 24,208.59 × 7,814.30
  4. Step 4: Simplify right side
    16,134.92x = 189,173,184.84
  5. Step 5: Solve for x
    x = 189,173,184.84/16,134.92
  6. Step 6: Final answer
    x = 11,724.46

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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.