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Finding the Fourth Proportional to 20,045.34, 30,056.82 and 8,207.40

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Solution

The fourth proportional to 20,045.34, 30,056.82 and 8,207.40 is: 12,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.34 : 30,056.82 = 8,207.40 : x
  2. Step 2: Convert to fraction form
    20,045.34/30,056.82 = 8,207.40/x
  3. Step 3: Cross multiply
    20,045.34x = 30,056.82 × 8,207.40
  4. Step 4: Simplify right side
    20,045.34x = 246,688,344.47
  5. Step 5: Solve for x
    x = 246,688,344.47/20,045.34
  6. Step 6: Final answer
    x = 12,306.52

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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.