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Finding the Fourth Proportional to 19,227.50, 26,534.76 and 10,844

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Solution

The fourth proportional to 19,227.50, 26,534.76 and 10,844 is: 14,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,227.50 : 26,534.76 = 10,844 : x
  2. Step 2: Convert to fraction form
    19,227.50/26,534.76 = 10,844/x
  3. Step 3: Cross multiply
    19,227.50x = 26,534.76 × 10,844
  4. Step 4: Simplify right side
    19,227.50x = 287,742,937.44
  5. Step 5: Solve for x
    x = 287,742,937.44/19,227.50
  6. Step 6: Final answer
    x = 14,965.18

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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.