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Finding the Fourth Proportional to 23,234, 32,061.72 and 12,623.36

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Solution

The fourth proportional to 23,234, 32,061.72 and 12,623.36 is: 17,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 32,061.72 = 12,623.36 : x
  2. Step 2: Convert to fraction form
    23,234/32,061.72 = 12,623.36/x
  3. Step 3: Cross multiply
    23,234x = 32,061.72 × 12,623.36
  4. Step 4: Simplify right side
    23,234x = 404,726,633.78
  5. Step 5: Solve for x
    x = 404,726,633.78/23,234
  6. Step 6: Final answer
    x = 17,419.58

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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.