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Finding the Fourth Proportional to 15,891.78, 23,837.84 and 4,798.57

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Solution

The fourth proportional to 15,891.78, 23,837.84 and 4,798.57 is: 7,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.78 : 23,837.84 = 4,798.57 : x
  2. Step 2: Convert to fraction form
    15,891.78/23,837.84 = 4,798.57/x
  3. Step 3: Cross multiply
    15,891.78x = 23,837.84 × 4,798.57
  4. Step 4: Simplify right side
    15,891.78x = 114,387,543.89
  5. Step 5: Solve for x
    x = 114,387,543.89/15,891.78
  6. Step 6: Final answer
    x = 7,197.91

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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.