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Finding the Fourth Proportional to 20,657.40, 28,508.04 and 11,706

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Solution

The fourth proportional to 20,657.40, 28,508.04 and 11,706 is: 16,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.40 : 28,508.04 = 11,706 : x
  2. Step 2: Convert to fraction form
    20,657.40/28,508.04 = 11,706/x
  3. Step 3: Cross multiply
    20,657.40x = 28,508.04 × 11,706
  4. Step 4: Simplify right side
    20,657.40x = 333,715,116.24
  5. Step 5: Solve for x
    x = 333,715,116.24/20,657.40
  6. Step 6: Final answer
    x = 16,154.75

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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.