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Finding the Fourth Proportional to 14,200.95, 21,331.80 and 8,657.31

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Solution

The fourth proportional to 14,200.95, 21,331.80 and 8,657.31 is: 13,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.95 : 21,331.80 = 8,657.31 : x
  2. Step 2: Convert to fraction form
    14,200.95/21,331.80 = 8,657.31/x
  3. Step 3: Cross multiply
    14,200.95x = 21,331.80 × 8,657.31
  4. Step 4: Simplify right side
    14,200.95x = 184,676,005.46
  5. Step 5: Solve for x
    x = 184,676,005.46/14,200.95
  6. Step 6: Final answer
    x = 13,004.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.