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Finding the Fourth Proportional to 20,895.45, 31,344.65 and 8,415.53

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Solution

The fourth proportional to 20,895.45, 31,344.65 and 8,415.53 is: 12,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,895.45 : 31,344.65 = 8,415.53 : x
  2. Step 2: Convert to fraction form
    20,895.45/31,344.65 = 8,415.53/x
  3. Step 3: Cross multiply
    20,895.45x = 31,344.65 × 8,415.53
  4. Step 4: Simplify right side
    20,895.45x = 263,781,643.61
  5. Step 5: Solve for x
    x = 263,781,643.61/20,895.45
  6. Step 6: Final answer
    x = 12,623.88

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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.