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Finding the Fourth Proportional to 20,407.34, 28,164.17 and 13,706.96

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Solution

The fourth proportional to 20,407.34, 28,164.17 and 13,706.96 is: 18,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.34 : 28,164.17 = 13,706.96 : x
  2. Step 2: Convert to fraction form
    20,407.34/28,164.17 = 13,706.96/x
  3. Step 3: Cross multiply
    20,407.34x = 28,164.17 × 13,706.96
  4. Step 4: Simplify right side
    20,407.34x = 386,045,045.07
  5. Step 5: Solve for x
    x = 386,045,045.07/20,407.34
  6. Step 6: Final answer
    x = 18,916.97

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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.