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Finding the Fourth Proportional to 20,468.51, 30,702.76 and 5,677.43

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Solution

The fourth proportional to 20,468.51, 30,702.76 and 5,677.43 is: 8,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.51 : 30,702.76 = 5,677.43 : x
  2. Step 2: Convert to fraction form
    20,468.51/30,702.76 = 5,677.43/x
  3. Step 3: Cross multiply
    20,468.51x = 30,702.76 × 5,677.43
  4. Step 4: Simplify right side
    20,468.51x = 174,312,770.71
  5. Step 5: Solve for x
    x = 174,312,770.71/20,468.51
  6. Step 6: Final answer
    x = 8,516.14

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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.