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Finding the Fourth Proportional to 14,132.69, 19,495.74 and 9,593.78

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Solution

The fourth proportional to 14,132.69, 19,495.74 and 9,593.78 is: 13,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.69 : 19,495.74 = 9,593.78 : x
  2. Step 2: Convert to fraction form
    14,132.69/19,495.74 = 9,593.78/x
  3. Step 3: Cross multiply
    14,132.69x = 19,495.74 × 9,593.78
  4. Step 4: Simplify right side
    14,132.69x = 187,037,889.24
  5. Step 5: Solve for x
    x = 187,037,889.24/14,132.69
  6. Step 6: Final answer
    x = 13,234.42

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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.