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Finding the Fourth Proportional to 14,006.56, 19,328.34 and 7,717.72

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Solution

The fourth proportional to 14,006.56, 19,328.34 and 7,717.72 is: 10,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.56 : 19,328.34 = 7,717.72 : x
  2. Step 2: Convert to fraction form
    14,006.56/19,328.34 = 7,717.72/x
  3. Step 3: Cross multiply
    14,006.56x = 19,328.34 × 7,717.72
  4. Step 4: Simplify right side
    14,006.56x = 149,170,716.18
  5. Step 5: Solve for x
    x = 149,170,716.18/14,006.56
  6. Step 6: Final answer
    x = 10,650.06

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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.