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Finding the Fourth Proportional to 15,853.41, 21,875.94 and 8,778.06

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Solution

The fourth proportional to 15,853.41, 21,875.94 and 8,778.06 is: 12,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.41 : 21,875.94 = 8,778.06 : x
  2. Step 2: Convert to fraction form
    15,853.41/21,875.94 = 8,778.06/x
  3. Step 3: Cross multiply
    15,853.41x = 21,875.94 × 8,778.06
  4. Step 4: Simplify right side
    15,853.41x = 192,028,313.88
  5. Step 5: Solve for x
    x = 192,028,313.88/15,853.41
  6. Step 6: Final answer
    x = 12,112.75

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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.