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Finding the Fourth Proportional to 13,228.26, 18,254.76 and 7,260

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Solution

The fourth proportional to 13,228.26, 18,254.76 and 7,260 is: 10,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.26 : 18,254.76 = 7,260 : x
  2. Step 2: Convert to fraction form
    13,228.26/18,254.76 = 7,260/x
  3. Step 3: Cross multiply
    13,228.26x = 18,254.76 × 7,260
  4. Step 4: Simplify right side
    13,228.26x = 132,529,557.60
  5. Step 5: Solve for x
    x = 132,529,557.60/13,228.26
  6. Step 6: Final answer
    x = 10,018.67

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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.