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Finding the Fourth Proportional to 23,647.13, 32,633.04 and 13,036.80

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Solution

The fourth proportional to 23,647.13, 32,633.04 and 13,036.80 is: 17,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.13 : 32,633.04 = 13,036.80 : x
  2. Step 2: Convert to fraction form
    23,647.13/32,633.04 = 13,036.80/x
  3. Step 3: Cross multiply
    23,647.13x = 32,633.04 × 13,036.80
  4. Step 4: Simplify right side
    23,647.13x = 425,430,415.87
  5. Step 5: Solve for x
    x = 425,430,415.87/23,647.13
  6. Step 6: Final answer
    x = 17,990.78

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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.