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Finding the Fourth Proportional to 22,667.04, 31,270.32 and 13,230

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Solution

The fourth proportional to 22,667.04, 31,270.32 and 13,230 is: 18,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.04 : 31,270.32 = 13,230 : x
  2. Step 2: Convert to fraction form
    22,667.04/31,270.32 = 13,230/x
  3. Step 3: Cross multiply
    22,667.04x = 31,270.32 × 13,230
  4. Step 4: Simplify right side
    22,667.04x = 413,706,333.60
  5. Step 5: Solve for x
    x = 413,706,333.60/22,667.04
  6. Step 6: Final answer
    x = 18,251.45

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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.