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Finding the Fourth Proportional to 12,188.90, 16,822.05 and 10,195.94

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Solution

The fourth proportional to 12,188.90, 16,822.05 and 10,195.94 is: 14,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.90 : 16,822.05 = 10,195.94 : x
  2. Step 2: Convert to fraction form
    12,188.90/16,822.05 = 10,195.94/x
  3. Step 3: Cross multiply
    12,188.90x = 16,822.05 × 10,195.94
  4. Step 4: Simplify right side
    12,188.90x = 171,516,612.48
  5. Step 5: Solve for x
    x = 171,516,612.48/12,188.90
  6. Step 6: Final answer
    x = 14,071.54

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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.