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Finding the Fourth Proportional to 14,705.88, 20,283.86 and 9,668.49

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Solution

The fourth proportional to 14,705.88, 20,283.86 and 9,668.49 is: 13,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.88 : 20,283.86 = 9,668.49 : x
  2. Step 2: Convert to fraction form
    14,705.88/20,283.86 = 9,668.49/x
  3. Step 3: Cross multiply
    14,705.88x = 20,283.86 × 9,668.49
  4. Step 4: Simplify right side
    14,705.88x = 196,114,343.42
  5. Step 5: Solve for x
    x = 196,114,343.42/14,705.88
  6. Step 6: Final answer
    x = 13,335.77

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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.