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Finding the Fourth Proportional to 19,537, 26,965.92 and 11,158.36

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Solution

The fourth proportional to 19,537, 26,965.92 and 11,158.36 is: 15,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537 : 26,965.92 = 11,158.36 : x
  2. Step 2: Convert to fraction form
    19,537/26,965.92 = 11,158.36/x
  3. Step 3: Cross multiply
    19,537x = 26,965.92 × 11,158.36
  4. Step 4: Simplify right side
    19,537x = 300,895,443.09
  5. Step 5: Solve for x
    x = 300,895,443.09/19,537
  6. Step 6: Final answer
    x = 15,401.31

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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.