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Finding the Fourth Proportional to 23,191.83, 32,004.72 and 13,120.07

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Solution

The fourth proportional to 23,191.83, 32,004.72 and 13,120.07 is: 18,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.83 : 32,004.72 = 13,120.07 : x
  2. Step 2: Convert to fraction form
    23,191.83/32,004.72 = 13,120.07/x
  3. Step 3: Cross multiply
    23,191.83x = 32,004.72 × 13,120.07
  4. Step 4: Simplify right side
    23,191.83x = 419,904,006.71
  5. Step 5: Solve for x
    x = 419,904,006.71/23,191.83
  6. Step 6: Final answer
    x = 18,105.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.