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Finding the Fourth Proportional to 19,538.18, 26,961.06 and 11,471

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Solution

The fourth proportional to 19,538.18, 26,961.06 and 11,471 is: 15,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.18 : 26,961.06 = 11,471 : x
  2. Step 2: Convert to fraction form
    19,538.18/26,961.06 = 11,471/x
  3. Step 3: Cross multiply
    19,538.18x = 26,961.06 × 11,471
  4. Step 4: Simplify right side
    19,538.18x = 309,270,319.26
  5. Step 5: Solve for x
    x = 309,270,319.26/19,538.18
  6. Step 6: Final answer
    x = 15,829.02

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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.