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Finding the Fourth Proportional to 19,897.19, 27,457.84 and 10,944.16

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Solution

The fourth proportional to 19,897.19, 27,457.84 and 10,944.16 is: 15,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.19 : 27,457.84 = 10,944.16 : x
  2. Step 2: Convert to fraction form
    19,897.19/27,457.84 = 10,944.16/x
  3. Step 3: Cross multiply
    19,897.19x = 27,457.84 × 10,944.16
  4. Step 4: Simplify right side
    19,897.19x = 300,503,032.14
  5. Step 5: Solve for x
    x = 300,503,032.14/19,897.19
  6. Step 6: Final answer
    x = 15,102.78

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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.