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Finding the Fourth Proportional to 22,528.89, 33,793.80 and 6,946.50

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Solution

The fourth proportional to 22,528.89, 33,793.80 and 6,946.50 is: 10,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,528.89 : 33,793.80 = 6,946.50 : x
  2. Step 2: Convert to fraction form
    22,528.89/33,793.80 = 6,946.50/x
  3. Step 3: Cross multiply
    22,528.89x = 33,793.80 × 6,946.50
  4. Step 4: Simplify right side
    22,528.89x = 234,748,631.70
  5. Step 5: Solve for x
    x = 234,748,631.70/22,528.89
  6. Step 6: Final answer
    x = 10,419.89

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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.