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Finding the Fourth Proportional to 19,801.08, 27,325.94 and 10,849

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Solution

The fourth proportional to 19,801.08, 27,325.94 and 10,849 is: 14,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.08 : 27,325.94 = 10,849 : x
  2. Step 2: Convert to fraction form
    19,801.08/27,325.94 = 10,849/x
  3. Step 3: Cross multiply
    19,801.08x = 27,325.94 × 10,849
  4. Step 4: Simplify right side
    19,801.08x = 296,459,123.06
  5. Step 5: Solve for x
    x = 296,459,123.06/19,801.08
  6. Step 6: Final answer
    x = 14,971.87

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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.