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Finding the Fourth Proportional to 21,232.16, 31,811.22 and 12,894.56

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Solution

The fourth proportional to 21,232.16, 31,811.22 and 12,894.56 is: 19,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.16 : 31,811.22 = 12,894.56 : x
  2. Step 2: Convert to fraction form
    21,232.16/31,811.22 = 12,894.56/x
  3. Step 3: Cross multiply
    21,232.16x = 31,811.22 × 12,894.56
  4. Step 4: Simplify right side
    21,232.16x = 410,191,684.96
  5. Step 5: Solve for x
    x = 410,191,684.96/21,232.16
  6. Step 6: Final answer
    x = 19,319.36

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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.