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Finding the Fourth Proportional to 23,798.74, 32,841.44 and 13,189.36

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Solution

The fourth proportional to 23,798.74, 32,841.44 and 13,189.36 is: 18,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.74 : 32,841.44 = 13,189.36 : x
  2. Step 2: Convert to fraction form
    23,798.74/32,841.44 = 13,189.36/x
  3. Step 3: Cross multiply
    23,798.74x = 32,841.44 × 13,189.36
  4. Step 4: Simplify right side
    23,798.74x = 433,157,509.13
  5. Step 5: Solve for x
    x = 433,157,509.13/23,798.74
  6. Step 6: Final answer
    x = 18,200.86

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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.