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Finding the Fourth Proportional to 13,270.11, 18,312.78 and 7,302.14

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Solution

The fourth proportional to 13,270.11, 18,312.78 and 7,302.14 is: 10,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.11 : 18,312.78 = 7,302.14 : x
  2. Step 2: Convert to fraction form
    13,270.11/18,312.78 = 7,302.14/x
  3. Step 3: Cross multiply
    13,270.11x = 18,312.78 × 7,302.14
  4. Step 4: Simplify right side
    13,270.11x = 133,722,483.35
  5. Step 5: Solve for x
    x = 133,722,483.35/13,270.11
  6. Step 6: Final answer
    x = 10,076.97

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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.