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Finding the Fourth Proportional to 14,032.25, 19,364.78 and 7,744.49

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Solution

The fourth proportional to 14,032.25, 19,364.78 and 7,744.49 is: 10,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.25 : 19,364.78 = 7,744.49 : x
  2. Step 2: Convert to fraction form
    14,032.25/19,364.78 = 7,744.49/x
  3. Step 3: Cross multiply
    14,032.25x = 19,364.78 × 7,744.49
  4. Step 4: Simplify right side
    14,032.25x = 149,970,345.06
  5. Step 5: Solve for x
    x = 149,970,345.06/14,032.25
  6. Step 6: Final answer
    x = 10,687.55

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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.