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Finding the Fourth Proportional to 19,206.72, 26,504.92 and 10,823.22

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Solution

The fourth proportional to 19,206.72, 26,504.92 and 10,823.22 is: 14,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.72 : 26,504.92 = 10,823.22 : x
  2. Step 2: Convert to fraction form
    19,206.72/26,504.92 = 10,823.22/x
  3. Step 3: Cross multiply
    19,206.72x = 26,504.92 × 10,823.22
  4. Step 4: Simplify right side
    19,206.72x = 286,868,593.77
  5. Step 5: Solve for x
    x = 286,868,593.77/19,206.72
  6. Step 6: Final answer
    x = 14,935.85

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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.