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Finding the Fourth Proportional to 13,096.98, 19,544.87 and 11,695.68

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Solution

The fourth proportional to 13,096.98, 19,544.87 and 11,695.68 is: 17,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.98 : 19,544.87 = 11,695.68 : x
  2. Step 2: Convert to fraction form
    13,096.98/19,544.87 = 11,695.68/x
  3. Step 3: Cross multiply
    13,096.98x = 19,544.87 × 11,695.68
  4. Step 4: Simplify right side
    13,096.98x = 228,590,574.40
  5. Step 5: Solve for x
    x = 228,590,574.40/13,096.98
  6. Step 6: Final answer
    x = 17,453.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.