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Finding the Fourth Proportional to 23,365, 32,249.46 and 13,434.76

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Solution

The fourth proportional to 23,365, 32,249.46 and 13,434.76 is: 18,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365 : 32,249.46 = 13,434.76 : x
  2. Step 2: Convert to fraction form
    23,365/32,249.46 = 13,434.76/x
  3. Step 3: Cross multiply
    23,365x = 32,249.46 × 13,434.76
  4. Step 4: Simplify right side
    23,365x = 433,263,755.23
  5. Step 5: Solve for x
    x = 433,263,755.23/23,365
  6. Step 6: Final answer
    x = 18,543.28

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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.