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Finding the Fourth Proportional to 14,706.90, 20,290.14 and 9,673.82

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Solution

The fourth proportional to 14,706.90, 20,290.14 and 9,673.82 is: 13,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.90 : 20,290.14 = 9,673.82 : x
  2. Step 2: Convert to fraction form
    14,706.90/20,290.14 = 9,673.82/x
  3. Step 3: Cross multiply
    14,706.90x = 20,290.14 × 9,673.82
  4. Step 4: Simplify right side
    14,706.90x = 196,283,162.13
  5. Step 5: Solve for x
    x = 196,283,162.13/14,706.90
  6. Step 6: Final answer
    x = 13,346.33

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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.