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Finding the Fourth Proportional to 15,846, 21,860.48 and 10,178.92

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Solution

The fourth proportional to 15,846, 21,860.48 and 10,178.92 is: 14,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846 : 21,860.48 = 10,178.92 : x
  2. Step 2: Convert to fraction form
    15,846/21,860.48 = 10,178.92/x
  3. Step 3: Cross multiply
    15,846x = 21,860.48 × 10,178.92
  4. Step 4: Simplify right side
    15,846x = 222,516,077.08
  5. Step 5: Solve for x
    x = 222,516,077.08/15,846
  6. Step 6: Final answer
    x = 14,042.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.