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Finding the Fourth Proportional to 15,214.46, 22,805.53 and 8,977.41

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Solution

The fourth proportional to 15,214.46, 22,805.53 and 8,977.41 is: 13,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.46 : 22,805.53 = 8,977.41 : x
  2. Step 2: Convert to fraction form
    15,214.46/22,805.53 = 8,977.41/x
  3. Step 3: Cross multiply
    15,214.46x = 22,805.53 × 8,977.41
  4. Step 4: Simplify right side
    15,214.46x = 204,734,570.63
  5. Step 5: Solve for x
    x = 204,734,570.63/15,214.46
  6. Step 6: Final answer
    x = 13,456.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.