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Finding the Fourth Proportional to 23,038.68, 31,793.07 and 13,485.15

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Solution

The fourth proportional to 23,038.68, 31,793.07 and 13,485.15 is: 18,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.68 : 31,793.07 = 13,485.15 : x
  2. Step 2: Convert to fraction form
    23,038.68/31,793.07 = 13,485.15/x
  3. Step 3: Cross multiply
    23,038.68x = 31,793.07 × 13,485.15
  4. Step 4: Simplify right side
    23,038.68x = 428,734,317.91
  5. Step 5: Solve for x
    x = 428,734,317.91/23,038.68
  6. Step 6: Final answer
    x = 18,609.33

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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.