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Finding the Fourth Proportional to 13,648.53, 18,833.45 and 7,682.25

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Solution

The fourth proportional to 13,648.53, 18,833.45 and 7,682.25 is: 10,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.53 : 18,833.45 = 7,682.25 : x
  2. Step 2: Convert to fraction form
    13,648.53/18,833.45 = 7,682.25/x
  3. Step 3: Cross multiply
    13,648.53x = 18,833.45 × 7,682.25
  4. Step 4: Simplify right side
    13,648.53x = 144,683,232.85
  5. Step 5: Solve for x
    x = 144,683,232.85/13,648.53
  6. Step 6: Final answer
    x = 10,600.65

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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.