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Finding the Fourth Proportional to 15,269.62, 22,897.32 and 8,946.40

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Solution

The fourth proportional to 15,269.62, 22,897.32 and 8,946.40 is: 13,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.62 : 22,897.32 = 8,946.40 : x
  2. Step 2: Convert to fraction form
    15,269.62/22,897.32 = 8,946.40/x
  3. Step 3: Cross multiply
    15,269.62x = 22,897.32 × 8,946.40
  4. Step 4: Simplify right side
    15,269.62x = 204,848,583.65
  5. Step 5: Solve for x
    x = 204,848,583.65/15,269.62
  6. Step 6: Final answer
    x = 13,415.43

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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.