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Finding the Fourth Proportional to 15,682.30, 21,642.71 and 10,367.90

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Solution

The fourth proportional to 15,682.30, 21,642.71 and 10,367.90 is: 14,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.30 : 21,642.71 = 10,367.90 : x
  2. Step 2: Convert to fraction form
    15,682.30/21,642.71 = 10,367.90/x
  3. Step 3: Cross multiply
    15,682.30x = 21,642.71 × 10,367.90
  4. Step 4: Simplify right side
    15,682.30x = 224,389,453.01
  5. Step 5: Solve for x
    x = 224,389,453.01/15,682.30
  6. Step 6: Final answer
    x = 14,308.45

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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.