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Finding the Fourth Proportional to 23,793.66, 32,834.16 and 13,038.48

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Solution

The fourth proportional to 23,793.66, 32,834.16 and 13,038.48 is: 17,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.66 : 32,834.16 = 13,038.48 : x
  2. Step 2: Convert to fraction form
    23,793.66/32,834.16 = 13,038.48/x
  3. Step 3: Cross multiply
    23,793.66x = 32,834.16 × 13,038.48
  4. Step 4: Simplify right side
    23,793.66x = 428,107,538.48
  5. Step 5: Solve for x
    x = 428,107,538.48/23,793.66
  6. Step 6: Final answer
    x = 17,992.50

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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.