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Finding the Fourth Proportional to 23,014.36, 34,522.98 and 9,163

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Solution

The fourth proportional to 23,014.36, 34,522.98 and 9,163 is: 13,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.36 : 34,522.98 = 9,163 : x
  2. Step 2: Convert to fraction form
    23,014.36/34,522.98 = 9,163/x
  3. Step 3: Cross multiply
    23,014.36x = 34,522.98 × 9,163
  4. Step 4: Simplify right side
    23,014.36x = 316,334,065.74
  5. Step 5: Solve for x
    x = 316,334,065.74/23,014.36
  6. Step 6: Final answer
    x = 13,745.07

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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.