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Finding the Fourth Proportional to 19,507.74, 26,911.84 and 12,429.75

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Solution

The fourth proportional to 19,507.74, 26,911.84 and 12,429.75 is: 17,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.74 : 26,911.84 = 12,429.75 : x
  2. Step 2: Convert to fraction form
    19,507.74/26,911.84 = 12,429.75/x
  3. Step 3: Cross multiply
    19,507.74x = 26,911.84 × 12,429.75
  4. Step 4: Simplify right side
    19,507.74x = 334,507,443.24
  5. Step 5: Solve for x
    x = 334,507,443.24/19,507.74
  6. Step 6: Final answer
    x = 17,147.42

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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.