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Finding the Fourth Proportional to 13,009.74, 19,518.26 and 5,224.02

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Solution

The fourth proportional to 13,009.74, 19,518.26 and 5,224.02 is: 7,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.74 : 19,518.26 = 5,224.02 : x
  2. Step 2: Convert to fraction form
    13,009.74/19,518.26 = 5,224.02/x
  3. Step 3: Cross multiply
    13,009.74x = 19,518.26 × 5,224.02
  4. Step 4: Simplify right side
    13,009.74x = 101,963,754.49
  5. Step 5: Solve for x
    x = 101,963,754.49/13,009.74
  6. Step 6: Final answer
    x = 7,837.49

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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.