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Finding the Fourth Proportional to 15,285, 22,931.34 and 4,341

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Solution

The fourth proportional to 15,285, 22,931.34 and 4,341 is: 6,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285 : 22,931.34 = 4,341 : x
  2. Step 2: Convert to fraction form
    15,285/22,931.34 = 4,341/x
  3. Step 3: Cross multiply
    15,285x = 22,931.34 × 4,341
  4. Step 4: Simplify right side
    15,285x = 99,544,946.94
  5. Step 5: Solve for x
    x = 99,544,946.94/15,285
  6. Step 6: Final answer
    x = 6,512.59

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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.