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Finding the Fourth Proportional to 14,131.72, 19,501.73 and 7,758.15

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Solution

The fourth proportional to 14,131.72, 19,501.73 and 7,758.15 is: 10,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.72 : 19,501.73 = 7,758.15 : x
  2. Step 2: Convert to fraction form
    14,131.72/19,501.73 = 7,758.15/x
  3. Step 3: Cross multiply
    14,131.72x = 19,501.73 × 7,758.15
  4. Step 4: Simplify right side
    14,131.72x = 151,297,356.56
  5. Step 5: Solve for x
    x = 151,297,356.56/14,131.72
  6. Step 6: Final answer
    x = 10,706.22

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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.