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Finding the Fourth Proportional to 13,258.54, 18,297.26 and 7,290.67

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Solution

The fourth proportional to 13,258.54, 18,297.26 and 7,290.67 is: 10,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.54 : 18,297.26 = 7,290.67 : x
  2. Step 2: Convert to fraction form
    13,258.54/18,297.26 = 7,290.67/x
  3. Step 3: Cross multiply
    13,258.54x = 18,297.26 × 7,290.67
  4. Step 4: Simplify right side
    13,258.54x = 133,399,156.62
  5. Step 5: Solve for x
    x = 133,399,156.62/13,258.54
  6. Step 6: Final answer
    x = 10,061.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.