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Finding the Fourth Proportional to 11,420.71, 17,089.54 and 9,427.81

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Solution

The fourth proportional to 11,420.71, 17,089.54 and 9,427.81 is: 14,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.71 : 17,089.54 = 9,427.81 : x
  2. Step 2: Convert to fraction form
    11,420.71/17,089.54 = 9,427.81/x
  3. Step 3: Cross multiply
    11,420.71x = 17,089.54 × 9,427.81
  4. Step 4: Simplify right side
    11,420.71x = 161,116,928.37
  5. Step 5: Solve for x
    x = 161,116,928.37/11,420.71
  6. Step 6: Final answer
    x = 14,107.43

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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.