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Finding the Fourth Proportional to 15,280, 22,923.84 and 4,336

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Solution

The fourth proportional to 15,280, 22,923.84 and 4,336 is: 6,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280 : 22,923.84 = 4,336 : x
  2. Step 2: Convert to fraction form
    15,280/22,923.84 = 4,336/x
  3. Step 3: Cross multiply
    15,280x = 22,923.84 × 4,336
  4. Step 4: Simplify right side
    15,280x = 99,397,770.24
  5. Step 5: Solve for x
    x = 99,397,770.24/15,280
  6. Step 6: Final answer
    x = 6,505.09

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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.