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Finding the Fourth Proportional to 19,719, 29,563.92 and 11,926.08

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Solution

The fourth proportional to 19,719, 29,563.92 and 11,926.08 is: 17,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 29,563.92 = 11,926.08 : x
  2. Step 2: Convert to fraction form
    19,719/29,563.92 = 11,926.08/x
  3. Step 3: Cross multiply
    19,719x = 29,563.92 × 11,926.08
  4. Step 4: Simplify right side
    19,719x = 352,581,675.03
  5. Step 5: Solve for x
    x = 352,581,675.03/19,719
  6. Step 6: Final answer
    x = 17,880.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.