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Finding the Fourth Proportional to 14,643.54, 20,207.76 and 8,355.78

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Solution

The fourth proportional to 14,643.54, 20,207.76 and 8,355.78 is: 11,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.54 : 20,207.76 = 8,355.78 : x
  2. Step 2: Convert to fraction form
    14,643.54/20,207.76 = 8,355.78/x
  3. Step 3: Cross multiply
    14,643.54x = 20,207.76 × 8,355.78
  4. Step 4: Simplify right side
    14,643.54x = 168,851,596.85
  5. Step 5: Solve for x
    x = 168,851,596.85/14,643.54
  6. Step 6: Final answer
    x = 11,530.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.