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Finding the Fourth Proportional to 23,420.34, 32,318.46 and 13,348.53

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Solution

The fourth proportional to 23,420.34, 32,318.46 and 13,348.53 is: 18,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.34 : 32,318.46 = 13,348.53 : x
  2. Step 2: Convert to fraction form
    23,420.34/32,318.46 = 13,348.53/x
  3. Step 3: Cross multiply
    23,420.34x = 32,318.46 × 13,348.53
  4. Step 4: Simplify right side
    23,420.34x = 431,403,932.86
  5. Step 5: Solve for x
    x = 431,403,932.86/23,420.34
  6. Step 6: Final answer
    x = 18,420.05

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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.