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Finding the Fourth Proportional to 13,099.09, 19,648.84 and 7,292.61

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Solution

The fourth proportional to 13,099.09, 19,648.84 and 7,292.61 is: 10,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.09 : 19,648.84 = 7,292.61 : x
  2. Step 2: Convert to fraction form
    13,099.09/19,648.84 = 7,292.61/x
  3. Step 3: Cross multiply
    13,099.09x = 19,648.84 × 7,292.61
  4. Step 4: Simplify right side
    13,099.09x = 143,291,327.07
  5. Step 5: Solve for x
    x = 143,291,327.07/13,099.09
  6. Step 6: Final answer
    x = 10,939.03

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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.