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Finding the Fourth Proportional to 20,643.28, 30,959.40 and 8,953.76

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Solution

The fourth proportional to 20,643.28, 30,959.40 and 8,953.76 is: 13,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.28 : 30,959.40 = 8,953.76 : x
  2. Step 2: Convert to fraction form
    20,643.28/30,959.40 = 8,953.76/x
  3. Step 3: Cross multiply
    20,643.28x = 30,959.40 × 8,953.76
  4. Step 4: Simplify right side
    20,643.28x = 277,203,037.34
  5. Step 5: Solve for x
    x = 277,203,037.34/20,643.28
  6. Step 6: Final answer
    x = 13,428.25

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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.