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Finding the Fourth Proportional to 13,003.54, 19,496.47 and 5,101.10

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Solution

The fourth proportional to 13,003.54, 19,496.47 and 5,101.10 is: 7,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.54 : 19,496.47 = 5,101.10 : x
  2. Step 2: Convert to fraction form
    13,003.54/19,496.47 = 5,101.10/x
  3. Step 3: Cross multiply
    13,003.54x = 19,496.47 × 5,101.10
  4. Step 4: Simplify right side
    13,003.54x = 99,453,443.12
  5. Step 5: Solve for x
    x = 99,453,443.12/13,003.54
  6. Step 6: Final answer
    x = 7,648.18

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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.