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Finding the Fourth Proportional to 22,369.79, 33,530.08 and 9,214.99

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Solution

The fourth proportional to 22,369.79, 33,530.08 and 9,214.99 is: 13,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.79 : 33,530.08 = 9,214.99 : x
  2. Step 2: Convert to fraction form
    22,369.79/33,530.08 = 9,214.99/x
  3. Step 3: Cross multiply
    22,369.79x = 33,530.08 × 9,214.99
  4. Step 4: Simplify right side
    22,369.79x = 308,979,184.25
  5. Step 5: Solve for x
    x = 308,979,184.25/22,369.79
  6. Step 6: Final answer
    x = 13,812.34

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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.