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Finding the Fourth Proportional to 14,032.18, 19,364.48 and 7,744.56

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Solution

The fourth proportional to 14,032.18, 19,364.48 and 7,744.56 is: 10,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.18 : 19,364.48 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    14,032.18/19,364.48 = 7,744.56/x
  3. Step 3: Cross multiply
    14,032.18x = 19,364.48 × 7,744.56
  4. Step 4: Simplify right side
    14,032.18x = 149,969,377.23
  5. Step 5: Solve for x
    x = 149,969,377.23/14,032.18
  6. Step 6: Final answer
    x = 10,687.53

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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.