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Finding the Fourth Proportional to 19,769, 27,281.22 and 12,317

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Solution

The fourth proportional to 19,769, 27,281.22 and 12,317 is: 16,997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769 : 27,281.22 = 12,317 : x
  2. Step 2: Convert to fraction form
    19,769/27,281.22 = 12,317/x
  3. Step 3: Cross multiply
    19,769x = 27,281.22 × 12,317
  4. Step 4: Simplify right side
    19,769x = 336,022,786.74
  5. Step 5: Solve for x
    x = 336,022,786.74/19,769
  6. Step 6: Final answer
    x = 16,997.46

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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.