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Finding the Fourth Proportional to 23,438.65, 32,345.44 and 12,829.27

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Solution

The fourth proportional to 23,438.65, 32,345.44 and 12,829.27 is: 17,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.65 : 32,345.44 = 12,829.27 : x
  2. Step 2: Convert to fraction form
    23,438.65/32,345.44 = 12,829.27/x
  3. Step 3: Cross multiply
    23,438.65x = 32,345.44 × 12,829.27
  4. Step 4: Simplify right side
    23,438.65x = 414,968,383.03
  5. Step 5: Solve for x
    x = 414,968,383.03/23,438.65
  6. Step 6: Final answer
    x = 17,704.45

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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.