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Finding the Fourth Proportional to 13,955.98, 19,259.31 and 8,212

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Solution

The fourth proportional to 13,955.98, 19,259.31 and 8,212 is: 11,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955.98 : 19,259.31 = 8,212 : x
  2. Step 2: Convert to fraction form
    13,955.98/19,259.31 = 8,212/x
  3. Step 3: Cross multiply
    13,955.98x = 19,259.31 × 8,212
  4. Step 4: Simplify right side
    13,955.98x = 158,157,453.72
  5. Step 5: Solve for x
    x = 158,157,453.72/13,955.98
  6. Step 6: Final answer
    x = 11,332.59

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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.