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Finding the Fourth Proportional to 22,368.85, 33,528.67 and 9,214.05

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Solution

The fourth proportional to 22,368.85, 33,528.67 and 9,214.05 is: 13,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368.85 : 33,528.67 = 9,214.05 : x
  2. Step 2: Convert to fraction form
    22,368.85/33,528.67 = 9,214.05/x
  3. Step 3: Cross multiply
    22,368.85x = 33,528.67 × 9,214.05
  4. Step 4: Simplify right side
    22,368.85x = 308,934,727.60
  5. Step 5: Solve for x
    x = 308,934,727.60/22,368.85
  6. Step 6: Final answer
    x = 13,810.93

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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.