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Finding the Fourth Proportional to 23,179.86, 32,003.57 and 13,751.46

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Solution

The fourth proportional to 23,179.86, 32,003.57 and 13,751.46 is: 18,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.86 : 32,003.57 = 13,751.46 : x
  2. Step 2: Convert to fraction form
    23,179.86/32,003.57 = 13,751.46/x
  3. Step 3: Cross multiply
    23,179.86x = 32,003.57 × 13,751.46
  4. Step 4: Simplify right side
    23,179.86x = 440,095,812.71
  5. Step 5: Solve for x
    x = 440,095,812.71/23,179.86
  6. Step 6: Final answer
    x = 18,986.13

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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.