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Finding the Fourth Proportional to 23,719.50, 32,731.63 and 13,108.50

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Solution

The fourth proportional to 23,719.50, 32,731.63 and 13,108.50 is: 18,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719.50 : 32,731.63 = 13,108.50 : x
  2. Step 2: Convert to fraction form
    23,719.50/32,731.63 = 13,108.50/x
  3. Step 3: Cross multiply
    23,719.50x = 32,731.63 × 13,108.50
  4. Step 4: Simplify right side
    23,719.50x = 429,062,571.86
  5. Step 5: Solve for x
    x = 429,062,571.86/23,719.50
  6. Step 6: Final answer
    x = 18,089.02

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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.