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Finding the Fourth Proportional to 15,778.64, 21,774.96 and 8,705.60

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Solution

The fourth proportional to 15,778.64, 21,774.96 and 8,705.60 is: 12,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.64 : 21,774.96 = 8,705.60 : x
  2. Step 2: Convert to fraction form
    15,778.64/21,774.96 = 8,705.60/x
  3. Step 3: Cross multiply
    15,778.64x = 21,774.96 × 8,705.60
  4. Step 4: Simplify right side
    15,778.64x = 189,564,091.78
  5. Step 5: Solve for x
    x = 189,564,091.78/15,778.64
  6. Step 6: Final answer
    x = 12,013.97

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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.