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Finding the Fourth Proportional to 15,891.92, 23,838.04 and 4,798.70

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Solution

The fourth proportional to 15,891.92, 23,838.04 and 4,798.70 is: 7,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.92 : 23,838.04 = 4,798.70 : x
  2. Step 2: Convert to fraction form
    15,891.92/23,838.04 = 4,798.70/x
  3. Step 3: Cross multiply
    15,891.92x = 23,838.04 × 4,798.70
  4. Step 4: Simplify right side
    15,891.92x = 114,391,602.55
  5. Step 5: Solve for x
    x = 114,391,602.55/15,891.92
  6. Step 6: Final answer
    x = 7,198.10

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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.