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Finding the Fourth Proportional to 19,206, 26,504.28 and 10,822.68

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Solution

The fourth proportional to 19,206, 26,504.28 and 10,822.68 is: 14,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 26,504.28 = 10,822.68 : x
  2. Step 2: Convert to fraction form
    19,206/26,504.28 = 10,822.68/x
  3. Step 3: Cross multiply
    19,206x = 26,504.28 × 10,822.68
  4. Step 4: Simplify right side
    19,206x = 286,847,341.07
  5. Step 5: Solve for x
    x = 286,847,341.07/19,206
  6. Step 6: Final answer
    x = 14,935.30

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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.