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Finding the Fourth Proportional to 23,212, 32,032.56 and 12,601.72

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Solution

The fourth proportional to 23,212, 32,032.56 and 12,601.72 is: 17,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212 : 32,032.56 = 12,601.72 : x
  2. Step 2: Convert to fraction form
    23,212/32,032.56 = 12,601.72/x
  3. Step 3: Cross multiply
    23,212x = 32,032.56 × 12,601.72
  4. Step 4: Simplify right side
    23,212x = 403,665,352.00
  5. Step 5: Solve for x
    x = 403,665,352.00/23,212
  6. Step 6: Final answer
    x = 17,390.37

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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.