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Finding the Fourth Proportional to 19,776.99, 27,292.31 and 10,824.57

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Solution

The fourth proportional to 19,776.99, 27,292.31 and 10,824.57 is: 14,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.99 : 27,292.31 = 10,824.57 : x
  2. Step 2: Convert to fraction form
    19,776.99/27,292.31 = 10,824.57/x
  3. Step 3: Cross multiply
    19,776.99x = 27,292.31 × 10,824.57
  4. Step 4: Simplify right side
    19,776.99x = 295,427,506.53
  5. Step 5: Solve for x
    x = 295,427,506.53/19,776.99
  6. Step 6: Final answer
    x = 14,937.94

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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.