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Finding the Fourth Proportional to 23,499.64, 35,249.46 and 13,707.28

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Solution

The fourth proportional to 23,499.64, 35,249.46 and 13,707.28 is: 20,560.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.64 : 35,249.46 = 13,707.28 : x
  2. Step 2: Convert to fraction form
    23,499.64/35,249.46 = 13,707.28/x
  3. Step 3: Cross multiply
    23,499.64x = 35,249.46 × 13,707.28
  4. Step 4: Simplify right side
    23,499.64x = 483,174,218.07
  5. Step 5: Solve for x
    x = 483,174,218.07/23,499.64
  6. Step 6: Final answer
    x = 20,560.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.