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Finding the Fourth Proportional to 19,897.41, 27,462.32 and 11,405.22

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Solution

The fourth proportional to 19,897.41, 27,462.32 and 11,405.22 is: 15,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.41 : 27,462.32 = 11,405.22 : x
  2. Step 2: Convert to fraction form
    19,897.41/27,462.32 = 11,405.22/x
  3. Step 3: Cross multiply
    19,897.41x = 27,462.32 × 11,405.22
  4. Step 4: Simplify right side
    19,897.41x = 313,213,829.82
  5. Step 5: Solve for x
    x = 313,213,829.82/19,897.41
  6. Step 6: Final answer
    x = 15,741.44

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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.