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Finding the Fourth Proportional to 23,331.98, 32,192.34 and 14,255

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Solution

The fourth proportional to 23,331.98, 32,192.34 and 14,255 is: 19,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,331.98 : 32,192.34 = 14,255 : x
  2. Step 2: Convert to fraction form
    23,331.98/32,192.34 = 14,255/x
  3. Step 3: Cross multiply
    23,331.98x = 32,192.34 × 14,255
  4. Step 4: Simplify right side
    23,331.98x = 458,901,806.70
  5. Step 5: Solve for x
    x = 458,901,806.70/23,331.98
  6. Step 6: Final answer
    x = 19,668.36

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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.