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Finding the Fourth Proportional to 23,723.63, 32,737.21 and 13,112.63

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Solution

The fourth proportional to 23,723.63, 32,737.21 and 13,112.63 is: 18,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.63 : 32,737.21 = 13,112.63 : x
  2. Step 2: Convert to fraction form
    23,723.63/32,737.21 = 13,112.63/x
  3. Step 3: Cross multiply
    23,723.63x = 32,737.21 × 13,112.63
  4. Step 4: Simplify right side
    23,723.63x = 429,270,971.02
  5. Step 5: Solve for x
    x = 429,270,971.02/23,723.63
  6. Step 6: Final answer
    x = 18,094.66

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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.