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Finding the Fourth Proportional to 14,134.45, 19,507.09 and 8,085.26

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Solution

The fourth proportional to 14,134.45, 19,507.09 and 8,085.26 is: 11,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.45 : 19,507.09 = 8,085.26 : x
  2. Step 2: Convert to fraction form
    14,134.45/19,507.09 = 8,085.26/x
  3. Step 3: Cross multiply
    14,134.45x = 19,507.09 × 8,085.26
  4. Step 4: Simplify right side
    14,134.45x = 157,719,776.74
  5. Step 5: Solve for x
    x = 157,719,776.74/14,134.45
  6. Step 6: Final answer
    x = 11,158.54

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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.