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Finding the Fourth Proportional to 16,007.58, 23,998.32 and 9,838.62

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Solution

The fourth proportional to 16,007.58, 23,998.32 and 9,838.62 is: 14,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.58 : 23,998.32 = 9,838.62 : x
  2. Step 2: Convert to fraction form
    16,007.58/23,998.32 = 9,838.62/x
  3. Step 3: Cross multiply
    16,007.58x = 23,998.32 × 9,838.62
  4. Step 4: Simplify right side
    16,007.58x = 236,110,351.12
  5. Step 5: Solve for x
    x = 236,110,351.12/16,007.58
  6. Step 6: Final answer
    x = 14,749.91

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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.