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Finding the Fourth Proportional to 15,846.74, 21,862.27 and 10,180.70

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Solution

The fourth proportional to 15,846.74, 21,862.27 and 10,180.70 is: 14,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.74 : 21,862.27 = 10,180.70 : x
  2. Step 2: Convert to fraction form
    15,846.74/21,862.27 = 10,180.70/x
  3. Step 3: Cross multiply
    15,846.74x = 21,862.27 × 10,180.70
  4. Step 4: Simplify right side
    15,846.74x = 222,573,212.19
  5. Step 5: Solve for x
    x = 222,573,212.19/15,846.74
  6. Step 6: Final answer
    x = 14,045.36

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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.