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Finding the Fourth Proportional to 15,892.31, 23,838.64 and 4,799.10

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Solution

The fourth proportional to 15,892.31, 23,838.64 and 4,799.10 is: 7,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.31 : 23,838.64 = 4,799.10 : x
  2. Step 2: Convert to fraction form
    15,892.31/23,838.64 = 4,799.10/x
  3. Step 3: Cross multiply
    15,892.31x = 23,838.64 × 4,799.10
  4. Step 4: Simplify right side
    15,892.31x = 114,403,980.78
  5. Step 5: Solve for x
    x = 114,403,980.78/15,892.31
  6. Step 6: Final answer
    x = 7,198.70

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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.