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Finding the Fourth Proportional to 22,097.52, 33,155.40 and 8,946.54

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Solution

The fourth proportional to 22,097.52, 33,155.40 and 8,946.54 is: 13,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.52 : 33,155.40 = 8,946.54 : x
  2. Step 2: Convert to fraction form
    22,097.52/33,155.40 = 8,946.54/x
  3. Step 3: Cross multiply
    22,097.52x = 33,155.40 × 8,946.54
  4. Step 4: Simplify right side
    22,097.52x = 296,626,112.32
  5. Step 5: Solve for x
    x = 296,626,112.32/22,097.52
  6. Step 6: Final answer
    x = 13,423.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.