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Finding the Fourth Proportional to 22,673.96, 31,292.36 and 13,243.40

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Solution

The fourth proportional to 22,673.96, 31,292.36 and 13,243.40 is: 18,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.96 : 31,292.36 = 13,243.40 : x
  2. Step 2: Convert to fraction form
    22,673.96/31,292.36 = 13,243.40/x
  3. Step 3: Cross multiply
    22,673.96x = 31,292.36 × 13,243.40
  4. Step 4: Simplify right side
    22,673.96x = 414,417,017.75
  5. Step 5: Solve for x
    x = 414,417,017.75/22,673.96
  6. Step 6: Final answer
    x = 18,277.23

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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.