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Finding the Fourth Proportional to 23,701.40, 32,707.94 and 13,091.07

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Solution

The fourth proportional to 23,701.40, 32,707.94 and 13,091.07 is: 18,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.40 : 32,707.94 = 13,091.07 : x
  2. Step 2: Convert to fraction form
    23,701.40/32,707.94 = 13,091.07/x
  3. Step 3: Cross multiply
    23,701.40x = 32,707.94 × 13,091.07
  4. Step 4: Simplify right side
    23,701.40x = 428,181,866.64
  5. Step 5: Solve for x
    x = 428,181,866.64/23,701.40
  6. Step 6: Final answer
    x = 18,065.68

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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.