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Finding the Fourth Proportional to 19,538.93, 29,261.57 and 10,026.22

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Solution

The fourth proportional to 19,538.93, 29,261.57 and 10,026.22 is: 15,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.93 : 29,261.57 = 10,026.22 : x
  2. Step 2: Convert to fraction form
    19,538.93/29,261.57 = 10,026.22/x
  3. Step 3: Cross multiply
    19,538.93x = 29,261.57 × 10,026.22
  4. Step 4: Simplify right side
    19,538.93x = 293,382,938.37
  5. Step 5: Solve for x
    x = 293,382,938.37/19,538.93
  6. Step 6: Final answer
    x = 15,015.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.