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Finding the Fourth Proportional to 14,320.39, 19,762.09 and 7,947.94

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Solution

The fourth proportional to 14,320.39, 19,762.09 and 7,947.94 is: 10,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.39 : 19,762.09 = 7,947.94 : x
  2. Step 2: Convert to fraction form
    14,320.39/19,762.09 = 7,947.94/x
  3. Step 3: Cross multiply
    14,320.39x = 19,762.09 × 7,947.94
  4. Step 4: Simplify right side
    14,320.39x = 157,067,905.59
  5. Step 5: Solve for x
    x = 157,067,905.59/14,320.39
  6. Step 6: Final answer
    x = 10,968.13

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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.