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Finding the Fourth Proportional to 14,128.53, 19,494.07 and 8,159.08

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Solution

The fourth proportional to 14,128.53, 19,494.07 and 8,159.08 is: 11,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.53 : 19,494.07 = 8,159.08 : x
  2. Step 2: Convert to fraction form
    14,128.53/19,494.07 = 8,159.08/x
  3. Step 3: Cross multiply
    14,128.53x = 19,494.07 × 8,159.08
  4. Step 4: Simplify right side
    14,128.53x = 159,053,676.66
  5. Step 5: Solve for x
    x = 159,053,676.66/14,128.53
  6. Step 6: Final answer
    x = 11,257.62

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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.