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Finding the Fourth Proportional to 14,111.25, 19,469.10 and 8,809.14

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Solution

The fourth proportional to 14,111.25, 19,469.10 and 8,809.14 is: 12,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.25 : 19,469.10 = 8,809.14 : x
  2. Step 2: Convert to fraction form
    14,111.25/19,469.10 = 8,809.14/x
  3. Step 3: Cross multiply
    14,111.25x = 19,469.10 × 8,809.14
  4. Step 4: Simplify right side
    14,111.25x = 171,506,027.57
  5. Step 5: Solve for x
    x = 171,506,027.57/14,111.25
  6. Step 6: Final answer
    x = 12,153.85

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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.