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Finding the Fourth Proportional to 12,561.74, 17,333.91 and 7,258.26

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Solution

The fourth proportional to 12,561.74, 17,333.91 and 7,258.26 is: 10,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.74 : 17,333.91 = 7,258.26 : x
  2. Step 2: Convert to fraction form
    12,561.74/17,333.91 = 7,258.26/x
  3. Step 3: Cross multiply
    12,561.74x = 17,333.91 × 7,258.26
  4. Step 4: Simplify right side
    12,561.74x = 125,814,025.60
  5. Step 5: Solve for x
    x = 125,814,025.60/12,561.74
  6. Step 6: Final answer
    x = 10,015.66

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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.