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Finding the Fourth Proportional to 19,428.29, 26,822.09 and 12,823.49

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Solution

The fourth proportional to 19,428.29, 26,822.09 and 12,823.49 is: 17,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.29 : 26,822.09 = 12,823.49 : x
  2. Step 2: Convert to fraction form
    19,428.29/26,822.09 = 12,823.49/x
  3. Step 3: Cross multiply
    19,428.29x = 26,822.09 × 12,823.49
  4. Step 4: Simplify right side
    19,428.29x = 343,952,700.84
  5. Step 5: Solve for x
    x = 343,952,700.84/19,428.29
  6. Step 6: Final answer
    x = 17,703.71

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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.