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Finding the Fourth Proportional to 23,704.82, 32,710.28 and 13,093.77

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Solution

The fourth proportional to 23,704.82, 32,710.28 and 13,093.77 is: 18,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.82 : 32,710.28 = 13,093.77 : x
  2. Step 2: Convert to fraction form
    23,704.82/32,710.28 = 13,093.77/x
  3. Step 3: Cross multiply
    23,704.82x = 32,710.28 × 13,093.77
  4. Step 4: Simplify right side
    23,704.82x = 428,300,829.81
  5. Step 5: Solve for x
    x = 428,300,829.81/23,704.82
  6. Step 6: Final answer
    x = 18,068.09

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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.