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Finding the Fourth Proportional to 23,190.64, 32,002.50 and 13,759

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Solution

The fourth proportional to 23,190.64, 32,002.50 and 13,759 is: 18,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.64 : 32,002.50 = 13,759 : x
  2. Step 2: Convert to fraction form
    23,190.64/32,002.50 = 13,759/x
  3. Step 3: Cross multiply
    23,190.64x = 32,002.50 × 13,759
  4. Step 4: Simplify right side
    23,190.64x = 440,322,397.50
  5. Step 5: Solve for x
    x = 440,322,397.50/23,190.64
  6. Step 6: Final answer
    x = 18,987.07

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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.