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Finding the Fourth Proportional to 13,186.32, 19,786.77 and 7,346.22

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Solution

The fourth proportional to 13,186.32, 19,786.77 and 7,346.22 is: 11,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.32 : 19,786.77 = 7,346.22 : x
  2. Step 2: Convert to fraction form
    13,186.32/19,786.77 = 7,346.22/x
  3. Step 3: Cross multiply
    13,186.32x = 19,786.77 × 7,346.22
  4. Step 4: Simplify right side
    13,186.32x = 145,357,965.51
  5. Step 5: Solve for x
    x = 145,357,965.51/13,186.32
  6. Step 6: Final answer
    x = 11,023.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.