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Finding the Fourth Proportional to 14,232.83, 21,331.43 and 6,835.91

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Solution

The fourth proportional to 14,232.83, 21,331.43 and 6,835.91 is: 10,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.83 : 21,331.43 = 6,835.91 : x
  2. Step 2: Convert to fraction form
    14,232.83/21,331.43 = 6,835.91/x
  3. Step 3: Cross multiply
    14,232.83x = 21,331.43 × 6,835.91
  4. Step 4: Simplify right side
    14,232.83x = 145,819,701.47
  5. Step 5: Solve for x
    x = 145,819,701.47/14,232.83
  6. Step 6: Final answer
    x = 10,245.31

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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.