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Finding the Fourth Proportional to 19,901.09, 27,461.22 and 10,947.76

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Solution

The fourth proportional to 19,901.09, 27,461.22 and 10,947.76 is: 15,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.09 : 27,461.22 = 10,947.76 : x
  2. Step 2: Convert to fraction form
    19,901.09/27,461.22 = 10,947.76/x
  3. Step 3: Cross multiply
    19,901.09x = 27,461.22 × 10,947.76
  4. Step 4: Simplify right side
    19,901.09x = 300,638,845.87
  5. Step 5: Solve for x
    x = 300,638,845.87/19,901.09
  6. Step 6: Final answer
    x = 15,106.65

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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.