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Finding the Fourth Proportional to 15,511.74, 21,406.19 and 8,438.15

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Solution

The fourth proportional to 15,511.74, 21,406.19 and 8,438.15 is: 11,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.74 : 21,406.19 = 8,438.15 : x
  2. Step 2: Convert to fraction form
    15,511.74/21,406.19 = 8,438.15/x
  3. Step 3: Cross multiply
    15,511.74x = 21,406.19 × 8,438.15
  4. Step 4: Simplify right side
    15,511.74x = 180,628,492.93
  5. Step 5: Solve for x
    x = 180,628,492.93/15,511.74
  6. Step 6: Final answer
    x = 11,644.63

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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.