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Finding the Fourth Proportional to 15,778.53, 21,774.49 and 8,705.21

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Solution

The fourth proportional to 15,778.53, 21,774.49 and 8,705.21 is: 12,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.53 : 21,774.49 = 8,705.21 : x
  2. Step 2: Convert to fraction form
    15,778.53/21,774.49 = 8,705.21/x
  3. Step 3: Cross multiply
    15,778.53x = 21,774.49 × 8,705.21
  4. Step 4: Simplify right side
    15,778.53x = 189,551,377.46
  5. Step 5: Solve for x
    x = 189,551,377.46/15,778.53
  6. Step 6: Final answer
    x = 12,013.25

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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.