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Finding the Fourth Proportional to 19,967.50, 27,554.22 and 11,463.63

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Solution

The fourth proportional to 19,967.50, 27,554.22 and 11,463.63 is: 15,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.50 : 27,554.22 = 11,463.63 : x
  2. Step 2: Convert to fraction form
    19,967.50/27,554.22 = 11,463.63/x
  3. Step 3: Cross multiply
    19,967.50x = 27,554.22 × 11,463.63
  4. Step 4: Simplify right side
    19,967.50x = 315,871,479.94
  5. Step 5: Solve for x
    x = 315,871,479.94/19,967.50
  6. Step 6: Final answer
    x = 15,819.28

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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.