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Finding the Fourth Proportional to 21,272.29, 31,859.79 and 10,186.81

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Solution

The fourth proportional to 21,272.29, 31,859.79 and 10,186.81 is: 15,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272.29 : 31,859.79 = 10,186.81 : x
  2. Step 2: Convert to fraction form
    21,272.29/31,859.79 = 10,186.81/x
  3. Step 3: Cross multiply
    21,272.29x = 31,859.79 × 10,186.81
  4. Step 4: Simplify right side
    21,272.29x = 324,549,627.37
  5. Step 5: Solve for x
    x = 324,549,627.37/21,272.29
  6. Step 6: Final answer
    x = 15,256.92

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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.