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Finding the Fourth Proportional to 15,104.62, 22,624.08 and 7,297

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Solution

The fourth proportional to 15,104.62, 22,624.08 and 7,297 is: 10,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.62 : 22,624.08 = 7,297 : x
  2. Step 2: Convert to fraction form
    15,104.62/22,624.08 = 7,297/x
  3. Step 3: Cross multiply
    15,104.62x = 22,624.08 × 7,297
  4. Step 4: Simplify right side
    15,104.62x = 165,087,911.76
  5. Step 5: Solve for x
    x = 165,087,911.76/15,104.62
  6. Step 6: Final answer
    x = 10,929.63

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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.