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Finding the Fourth Proportional to 22,945, 31,667.94 and 13,014.76

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Solution

The fourth proportional to 22,945, 31,667.94 and 13,014.76 is: 17,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945 : 31,667.94 = 13,014.76 : x
  2. Step 2: Convert to fraction form
    22,945/31,667.94 = 13,014.76/x
  3. Step 3: Cross multiply
    22,945x = 31,667.94 × 13,014.76
  4. Step 4: Simplify right side
    22,945x = 412,150,638.79
  5. Step 5: Solve for x
    x = 412,150,638.79/22,945
  6. Step 6: Final answer
    x = 17,962.55

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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.