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Finding the Fourth Proportional to 15,852.19, 21,874.11 and 8,778.16

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Solution

The fourth proportional to 15,852.19, 21,874.11 and 8,778.16 is: 12,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.19 : 21,874.11 = 8,778.16 : x
  2. Step 2: Convert to fraction form
    15,852.19/21,874.11 = 8,778.16/x
  3. Step 3: Cross multiply
    15,852.19x = 21,874.11 × 8,778.16
  4. Step 4: Simplify right side
    15,852.19x = 192,014,437.44
  5. Step 5: Solve for x
    x = 192,014,437.44/15,852.19
  6. Step 6: Final answer
    x = 12,112.80

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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.