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Finding the Fourth Proportional to 21,875, 30,187.66 and 11,939

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Solution

The fourth proportional to 21,875, 30,187.66 and 11,939 is: 16,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875 : 30,187.66 = 11,939 : x
  2. Step 2: Convert to fraction form
    21,875/30,187.66 = 11,939/x
  3. Step 3: Cross multiply
    21,875x = 30,187.66 × 11,939
  4. Step 4: Simplify right side
    21,875x = 360,410,472.74
  5. Step 5: Solve for x
    x = 360,410,472.74/21,875
  6. Step 6: Final answer
    x = 16,475.91

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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.