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Finding the Fourth Proportional to 15,304, 22,959.84 and 4,360

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Solution

The fourth proportional to 15,304, 22,959.84 and 4,360 is: 6,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304 : 22,959.84 = 4,360 : x
  2. Step 2: Convert to fraction form
    15,304/22,959.84 = 4,360/x
  3. Step 3: Cross multiply
    15,304x = 22,959.84 × 4,360
  4. Step 4: Simplify right side
    15,304x = 100,104,902.40
  5. Step 5: Solve for x
    x = 100,104,902.40/15,304
  6. Step 6: Final answer
    x = 6,541.09

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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.