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Finding the Fourth Proportional to 13,705.36, 18,913.37 and 7,417.73

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Solution

The fourth proportional to 13,705.36, 18,913.37 and 7,417.73 is: 10,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.36 : 18,913.37 = 7,417.73 : x
  2. Step 2: Convert to fraction form
    13,705.36/18,913.37 = 7,417.73/x
  3. Step 3: Cross multiply
    13,705.36x = 18,913.37 × 7,417.73
  4. Step 4: Simplify right side
    13,705.36x = 140,294,282.24
  5. Step 5: Solve for x
    x = 140,294,282.24/13,705.36
  6. Step 6: Final answer
    x = 10,236.46

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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.