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Finding the Fourth Proportional to 23,040.63, 31,793.19 and 14,539.47

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Solution

The fourth proportional to 23,040.63, 31,793.19 and 14,539.47 is: 20,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.63 : 31,793.19 = 14,539.47 : x
  2. Step 2: Convert to fraction form
    23,040.63/31,793.19 = 14,539.47/x
  3. Step 3: Cross multiply
    23,040.63x = 31,793.19 × 14,539.47
  4. Step 4: Simplify right side
    23,040.63x = 462,256,132.21
  5. Step 5: Solve for x
    x = 462,256,132.21/23,040.63
  6. Step 6: Final answer
    x = 20,062.65

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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.