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Finding the Fourth Proportional to 15,754.68, 23,627.16 and 5,364

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Solution

The fourth proportional to 15,754.68, 23,627.16 and 5,364 is: 8,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.68 : 23,627.16 = 5,364 : x
  2. Step 2: Convert to fraction form
    15,754.68/23,627.16 = 5,364/x
  3. Step 3: Cross multiply
    15,754.68x = 23,627.16 × 5,364
  4. Step 4: Simplify right side
    15,754.68x = 126,736,086.24
  5. Step 5: Solve for x
    x = 126,736,086.24/15,754.68
  6. Step 6: Final answer
    x = 8,044.35

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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.