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Finding the Fourth Proportional to 12,491.64, 17,238.48 and 7,186.35

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Solution

The fourth proportional to 12,491.64, 17,238.48 and 7,186.35 is: 9,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.64 : 17,238.48 = 7,186.35 : x
  2. Step 2: Convert to fraction form
    12,491.64/17,238.48 = 7,186.35/x
  3. Step 3: Cross multiply
    12,491.64x = 17,238.48 × 7,186.35
  4. Step 4: Simplify right side
    12,491.64x = 123,881,750.75
  5. Step 5: Solve for x
    x = 123,881,750.75/12,491.64
  6. Step 6: Final answer
    x = 9,917.17

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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.