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Finding the Fourth Proportional to 15,778.36, 21,773.80 and 8,705.44

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Solution

The fourth proportional to 15,778.36, 21,773.80 and 8,705.44 is: 12,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.36 : 21,773.80 = 8,705.44 : x
  2. Step 2: Convert to fraction form
    15,778.36/21,773.80 = 8,705.44/x
  3. Step 3: Cross multiply
    15,778.36x = 21,773.80 × 8,705.44
  4. Step 4: Simplify right side
    15,778.36x = 189,550,509.47
  5. Step 5: Solve for x
    x = 189,550,509.47/15,778.36
  6. Step 6: Final answer
    x = 12,013.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.