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Finding the Fourth Proportional to 19,282.74, 26,605.89 and 11,733

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Solution

The fourth proportional to 19,282.74, 26,605.89 and 11,733 is: 16,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.74 : 26,605.89 = 11,733 : x
  2. Step 2: Convert to fraction form
    19,282.74/26,605.89 = 11,733/x
  3. Step 3: Cross multiply
    19,282.74x = 26,605.89 × 11,733
  4. Step 4: Simplify right side
    19,282.74x = 312,166,907.37
  5. Step 5: Solve for x
    x = 312,166,907.37/19,282.74
  6. Step 6: Final answer
    x = 16,188.93

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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.