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Finding the Fourth Proportional to 17,548.93, 24,223.31 and 13,970.44

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Solution

The fourth proportional to 17,548.93, 24,223.31 and 13,970.44 is: 19,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.93 : 24,223.31 = 13,970.44 : x
  2. Step 2: Convert to fraction form
    17,548.93/24,223.31 = 13,970.44/x
  3. Step 3: Cross multiply
    17,548.93x = 24,223.31 × 13,970.44
  4. Step 4: Simplify right side
    17,548.93x = 338,410,298.96
  5. Step 5: Solve for x
    x = 338,410,298.96/17,548.93
  6. Step 6: Final answer
    x = 19,283.81

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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.