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Finding the Fourth Proportional to 23,607.16, 32,507.57 and 23,083.27

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Solution

The fourth proportional to 23,607.16, 32,507.57 and 23,083.27 is: 31,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.16 : 32,507.57 = 23,083.27 : x
  2. Step 2: Convert to fraction form
    23,607.16/32,507.57 = 23,083.27/x
  3. Step 3: Cross multiply
    23,607.16x = 32,507.57 × 23,083.27
  4. Step 4: Simplify right side
    23,607.16x = 750,380,737.40
  5. Step 5: Solve for x
    x = 750,380,737.40/23,607.16
  6. Step 6: Final answer
    x = 31,786.16

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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.