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Finding the Fourth Proportional to 14,323.13, 19,765.61 and 7,949.35

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Solution

The fourth proportional to 14,323.13, 19,765.61 and 7,949.35 is: 10,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.13 : 19,765.61 = 7,949.35 : x
  2. Step 2: Convert to fraction form
    14,323.13/19,765.61 = 7,949.35/x
  3. Step 3: Cross multiply
    14,323.13x = 19,765.61 × 7,949.35
  4. Step 4: Simplify right side
    14,323.13x = 157,123,653.03
  5. Step 5: Solve for x
    x = 157,123,653.03/14,323.13
  6. Step 6: Final answer
    x = 10,969.93

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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.