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Finding the Fourth Proportional to 14,131.33, 19,501 and 8,081.50

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Solution

The fourth proportional to 14,131.33, 19,501 and 8,081.50 is: 11,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.33 : 19,501 = 8,081.50 : x
  2. Step 2: Convert to fraction form
    14,131.33/19,501 = 8,081.50/x
  3. Step 3: Cross multiply
    14,131.33x = 19,501 × 8,081.50
  4. Step 4: Simplify right side
    14,131.33x = 157,597,331.50
  5. Step 5: Solve for x
    x = 157,597,331.50/14,131.33
  6. Step 6: Final answer
    x = 11,152.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.