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Finding the Fourth Proportional to 14,029.50, 19,360.73 and 7,741.86

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Solution

The fourth proportional to 14,029.50, 19,360.73 and 7,741.86 is: 10,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.50 : 19,360.73 = 7,741.86 : x
  2. Step 2: Convert to fraction form
    14,029.50/19,360.73 = 7,741.86/x
  3. Step 3: Cross multiply
    14,029.50x = 19,360.73 × 7,741.86
  4. Step 4: Simplify right side
    14,029.50x = 149,888,061.16
  5. Step 5: Solve for x
    x = 149,888,061.16/14,029.50
  6. Step 6: Final answer
    x = 10,683.78

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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.