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Finding the Fourth Proportional to 14,056.24, 19,395.96 and 7,768.24

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Solution

The fourth proportional to 14,056.24, 19,395.96 and 7,768.24 is: 10,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.24 : 19,395.96 = 7,768.24 : x
  2. Step 2: Convert to fraction form
    14,056.24/19,395.96 = 7,768.24/x
  3. Step 3: Cross multiply
    14,056.24x = 19,395.96 × 7,768.24
  4. Step 4: Simplify right side
    14,056.24x = 150,672,472.31
  5. Step 5: Solve for x
    x = 150,672,472.31/14,056.24
  6. Step 6: Final answer
    x = 10,719.26

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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.