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Finding the Fourth Proportional to 21,981.10, 32,980.87 and 9,494.69

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Solution

The fourth proportional to 21,981.10, 32,980.87 and 9,494.69 is: 14,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.10 : 32,980.87 = 9,494.69 : x
  2. Step 2: Convert to fraction form
    21,981.10/32,980.87 = 9,494.69/x
  3. Step 3: Cross multiply
    21,981.10x = 32,980.87 × 9,494.69
  4. Step 4: Simplify right side
    21,981.10x = 313,143,261.82
  5. Step 5: Solve for x
    x = 313,143,261.82/21,981.10
  6. Step 6: Final answer
    x = 14,246.03

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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.