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Finding the Fourth Proportional to 15,538.99, 21,443.82 and 8,465.43

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Solution

The fourth proportional to 15,538.99, 21,443.82 and 8,465.43 is: 11,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.99 : 21,443.82 = 8,465.43 : x
  2. Step 2: Convert to fraction form
    15,538.99/21,443.82 = 8,465.43/x
  3. Step 3: Cross multiply
    15,538.99x = 21,443.82 × 8,465.43
  4. Step 4: Simplify right side
    15,538.99x = 181,531,157.14
  5. Step 5: Solve for x
    x = 181,531,157.14/15,538.99
  6. Step 6: Final answer
    x = 11,682.30

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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.