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Finding the Fourth Proportional to 13,025.78, 19,522.65 and 7,408.17

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Solution

The fourth proportional to 13,025.78, 19,522.65 and 7,408.17 is: 11,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.78 : 19,522.65 = 7,408.17 : x
  2. Step 2: Convert to fraction form
    13,025.78/19,522.65 = 7,408.17/x
  3. Step 3: Cross multiply
    13,025.78x = 19,522.65 × 7,408.17
  4. Step 4: Simplify right side
    13,025.78x = 144,627,020.42
  5. Step 5: Solve for x
    x = 144,627,020.42/13,025.78
  6. Step 6: Final answer
    x = 11,103.13

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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.