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Finding the Fourth Proportional to 13,009.91, 19,497.84 and 5,224.19

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Solution

The fourth proportional to 13,009.91, 19,497.84 and 5,224.19 is: 7,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.91 : 19,497.84 = 5,224.19 : x
  2. Step 2: Convert to fraction form
    13,009.91/19,497.84 = 5,224.19/x
  3. Step 3: Cross multiply
    13,009.91x = 19,497.84 × 5,224.19
  4. Step 4: Simplify right side
    13,009.91x = 101,860,323.26
  5. Step 5: Solve for x
    x = 101,860,323.26/13,009.91
  6. Step 6: Final answer
    x = 7,829.44

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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.