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Finding the Fourth Proportional to 38,186, 57,283.68 and 11,886.56

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Solution

The fourth proportional to 38,186, 57,283.68 and 11,886.56 is: 17,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186 : 57,283.68 = 11,886.56 : x
  2. Step 2: Convert to fraction form
    38,186/57,283.68 = 11,886.56/x
  3. Step 3: Cross multiply
    38,186x = 57,283.68 × 11,886.56
  4. Step 4: Simplify right side
    38,186x = 680,905,899.34
  5. Step 5: Solve for x
    x = 680,905,899.34/38,186
  6. Step 6: Final answer
    x = 17,831.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.