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Finding the Fourth Proportional to 13,003.74, 19,509.26 and 5,218.02

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Solution

The fourth proportional to 13,003.74, 19,509.26 and 5,218.02 is: 7,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.74 : 19,509.26 = 5,218.02 : x
  2. Step 2: Convert to fraction form
    13,003.74/19,509.26 = 5,218.02/x
  3. Step 3: Cross multiply
    13,003.74x = 19,509.26 × 5,218.02
  4. Step 4: Simplify right side
    13,003.74x = 101,799,682.78
  5. Step 5: Solve for x
    x = 101,799,682.78/13,003.74
  6. Step 6: Final answer
    x = 7,828.49

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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.