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Finding the Fourth Proportional to 21,219.46, 31,798.47 and 11,733.63

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Solution

The fourth proportional to 21,219.46, 31,798.47 and 11,733.63 is: 17,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.46 : 31,798.47 = 11,733.63 : x
  2. Step 2: Convert to fraction form
    21,219.46/31,798.47 = 11,733.63/x
  3. Step 3: Cross multiply
    21,219.46x = 31,798.47 × 11,733.63
  4. Step 4: Simplify right side
    21,219.46x = 373,111,481.55
  5. Step 5: Solve for x
    x = 373,111,481.55/21,219.46
  6. Step 6: Final answer
    x = 17,583.46

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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.