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Finding the Fourth Proportional to 14,663.96, 20,236.33 and 7,949.58

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Solution

The fourth proportional to 14,663.96, 20,236.33 and 7,949.58 is: 10,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.96 : 20,236.33 = 7,949.58 : x
  2. Step 2: Convert to fraction form
    14,663.96/20,236.33 = 7,949.58/x
  3. Step 3: Cross multiply
    14,663.96x = 20,236.33 × 7,949.58
  4. Step 4: Simplify right side
    14,663.96x = 160,870,203.19
  5. Step 5: Solve for x
    x = 160,870,203.19/14,663.96
  6. Step 6: Final answer
    x = 10,970.45

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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.