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Finding the Fourth Proportional to 23,740.83, 32,764.03 and 13,130.24

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Solution

The fourth proportional to 23,740.83, 32,764.03 and 13,130.24 is: 18,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.83 : 32,764.03 = 13,130.24 : x
  2. Step 2: Convert to fraction form
    23,740.83/32,764.03 = 13,130.24/x
  3. Step 3: Cross multiply
    23,740.83x = 32,764.03 × 13,130.24
  4. Step 4: Simplify right side
    23,740.83x = 430,199,380.62
  5. Step 5: Solve for x
    x = 430,199,380.62/23,740.83
  6. Step 6: Final answer
    x = 18,120.65

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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.