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Finding the Fourth Proportional to 15,852.70, 21,875.43 and 8,778.97

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Solution

The fourth proportional to 15,852.70, 21,875.43 and 8,778.97 is: 12,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.70 : 21,875.43 = 8,778.97 : x
  2. Step 2: Convert to fraction form
    15,852.70/21,875.43 = 8,778.97/x
  3. Step 3: Cross multiply
    15,852.70x = 21,875.43 × 8,778.97
  4. Step 4: Simplify right side
    15,852.70x = 192,043,743.71
  5. Step 5: Solve for x
    x = 192,043,743.71/15,852.70
  6. Step 6: Final answer
    x = 12,114.26

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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.