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Finding the Fourth Proportional to 19,122.82, 26,374.89 and 13,835.14

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Solution

The fourth proportional to 19,122.82, 26,374.89 and 13,835.14 is: 19,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.82 : 26,374.89 = 13,835.14 : x
  2. Step 2: Convert to fraction form
    19,122.82/26,374.89 = 13,835.14/x
  3. Step 3: Cross multiply
    19,122.82x = 26,374.89 × 13,835.14
  4. Step 4: Simplify right side
    19,122.82x = 364,900,295.63
  5. Step 5: Solve for x
    x = 364,900,295.63/19,122.82
  6. Step 6: Final answer
    x = 19,081.93

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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.