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Finding the Fourth Proportional to 22,909.89, 34,364.34 and 11,214.93

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Solution

The fourth proportional to 22,909.89, 34,364.34 and 11,214.93 is: 16,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.89 : 34,364.34 = 11,214.93 : x
  2. Step 2: Convert to fraction form
    22,909.89/34,364.34 = 11,214.93/x
  3. Step 3: Cross multiply
    22,909.89x = 34,364.34 × 11,214.93
  4. Step 4: Simplify right side
    22,909.89x = 385,393,667.60
  5. Step 5: Solve for x
    x = 385,393,667.60/22,909.89
  6. Step 6: Final answer
    x = 16,822.15

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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.