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Finding the Fourth Proportional to 14,105.75, 19,459.67 and 9,069.03

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Solution

The fourth proportional to 14,105.75, 19,459.67 and 9,069.03 is: 12,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.75 : 19,459.67 = 9,069.03 : x
  2. Step 2: Convert to fraction form
    14,105.75/19,459.67 = 9,069.03/x
  3. Step 3: Cross multiply
    14,105.75x = 19,459.67 × 9,069.03
  4. Step 4: Simplify right side
    14,105.75x = 176,480,285.67
  5. Step 5: Solve for x
    x = 176,480,285.67/14,105.75
  6. Step 6: Final answer
    x = 12,511.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.