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Finding the Fourth Proportional to 19,950.40, 27,529.68 and 11,566

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Solution

The fourth proportional to 19,950.40, 27,529.68 and 11,566 is: 15,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.40 : 27,529.68 = 11,566 : x
  2. Step 2: Convert to fraction form
    19,950.40/27,529.68 = 11,566/x
  3. Step 3: Cross multiply
    19,950.40x = 27,529.68 × 11,566
  4. Step 4: Simplify right side
    19,950.40x = 318,408,278.88
  5. Step 5: Solve for x
    x = 318,408,278.88/19,950.40
  6. Step 6: Final answer
    x = 15,959.99

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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.