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Finding the Fourth Proportional to 21,914.57, 32,873.67 and 9,434.90

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Solution

The fourth proportional to 21,914.57, 32,873.67 and 9,434.90 is: 14,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.57 : 32,873.67 = 9,434.90 : x
  2. Step 2: Convert to fraction form
    21,914.57/32,873.67 = 9,434.90/x
  3. Step 3: Cross multiply
    21,914.57x = 32,873.67 × 9,434.90
  4. Step 4: Simplify right side
    21,914.57x = 310,159,624.71
  5. Step 5: Solve for x
    x = 310,159,624.71/21,914.57
  6. Step 6: Final answer
    x = 14,153.13

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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.