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Finding the Fourth Proportional to 23,665.50, 32,657.87 and 13,055.13

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Solution

The fourth proportional to 23,665.50, 32,657.87 and 13,055.13 is: 18,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.50 : 32,657.87 = 13,055.13 : x
  2. Step 2: Convert to fraction form
    23,665.50/32,657.87 = 13,055.13/x
  3. Step 3: Cross multiply
    23,665.50x = 32,657.87 × 13,055.13
  4. Step 4: Simplify right side
    23,665.50x = 426,352,807.78
  5. Step 5: Solve for x
    x = 426,352,807.78/23,665.50
  6. Step 6: Final answer
    x = 18,015.79

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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.