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Finding the Fourth Proportional to 19,394, 29,091 and 7,082

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Solution

The fourth proportional to 19,394, 29,091 and 7,082 is: 10,623

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,394 : 29,091 = 7,082 : x
  2. Step 2: Convert to fraction form
    19,394/29,091 = 7,082/x
  3. Step 3: Cross multiply
    19,394x = 29,091 × 7,082
  4. Step 4: Simplify right side
    19,394x = 206,022,462
  5. Step 5: Solve for x
    x = 206,022,462/19,394
  6. Step 6: Final answer
    x = 10,623

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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.