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Finding the Fourth Proportional to 20,256.66, 30,388.23 and 8,569.98

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Solution

The fourth proportional to 20,256.66, 30,388.23 and 8,569.98 is: 12,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,256.66 : 30,388.23 = 8,569.98 : x
  2. Step 2: Convert to fraction form
    20,256.66/30,388.23 = 8,569.98/x
  3. Step 3: Cross multiply
    20,256.66x = 30,388.23 × 8,569.98
  4. Step 4: Simplify right side
    20,256.66x = 260,426,523.34
  5. Step 5: Solve for x
    x = 260,426,523.34/20,256.66
  6. Step 6: Final answer
    x = 12,856.34

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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.