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Finding the Fourth Proportional to 34,259.14, 51,408.15 and 13,497.22

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Solution

The fourth proportional to 34,259.14, 51,408.15 and 13,497.22 is: 20,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259.14 : 51,408.15 = 13,497.22 : x
  2. Step 2: Convert to fraction form
    34,259.14/51,408.15 = 13,497.22/x
  3. Step 3: Cross multiply
    34,259.14x = 51,408.15 × 13,497.22
  4. Step 4: Simplify right side
    34,259.14x = 693,867,110.34
  5. Step 5: Solve for x
    x = 693,867,110.34/34,259.14
  6. Step 6: Final answer
    x = 20,253.49

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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.