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Finding the Fourth Proportional to 13,228.86, 18,255.25 and 7,260.63

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Solution

The fourth proportional to 13,228.86, 18,255.25 and 7,260.63 is: 10,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.86 : 18,255.25 = 7,260.63 : x
  2. Step 2: Convert to fraction form
    13,228.86/18,255.25 = 7,260.63/x
  3. Step 3: Cross multiply
    13,228.86x = 18,255.25 × 7,260.63
  4. Step 4: Simplify right side
    13,228.86x = 132,544,615.81
  5. Step 5: Solve for x
    x = 132,544,615.81/13,228.86
  6. Step 6: Final answer
    x = 10,019.35

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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.