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Finding the Fourth Proportional to 21,426.98, 32,131.59 and 8,097.67

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Solution

The fourth proportional to 21,426.98, 32,131.59 and 8,097.67 is: 12,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426.98 : 32,131.59 = 8,097.67 : x
  2. Step 2: Convert to fraction form
    21,426.98/32,131.59 = 8,097.67/x
  3. Step 3: Cross multiply
    21,426.98x = 32,131.59 × 8,097.67
  4. Step 4: Simplify right side
    21,426.98x = 260,191,022.19
  5. Step 5: Solve for x
    x = 260,191,022.19/21,426.98
  6. Step 6: Final answer
    x = 12,143.15

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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.