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Finding the Fourth Proportional to 13,001.49, 19,453.49 and 7,717.16

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Solution

The fourth proportional to 13,001.49, 19,453.49 and 7,717.16 is: 11,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.49 : 19,453.49 = 7,717.16 : x
  2. Step 2: Convert to fraction form
    13,001.49/19,453.49 = 7,717.16/x
  3. Step 3: Cross multiply
    13,001.49x = 19,453.49 × 7,717.16
  4. Step 4: Simplify right side
    13,001.49x = 150,125,559.04
  5. Step 5: Solve for x
    x = 150,125,559.04/13,001.49
  6. Step 6: Final answer
    x = 11,546.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.