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Finding the Fourth Proportional to 19,853.76, 27,398.86 and 10,902.26

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Solution

The fourth proportional to 19,853.76, 27,398.86 and 10,902.26 is: 15,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.76 : 27,398.86 = 10,902.26 : x
  2. Step 2: Convert to fraction form
    19,853.76/27,398.86 = 10,902.26/x
  3. Step 3: Cross multiply
    19,853.76x = 27,398.86 × 10,902.26
  4. Step 4: Simplify right side
    19,853.76x = 298,709,495.42
  5. Step 5: Solve for x
    x = 298,709,495.42/19,853.76
  6. Step 6: Final answer
    x = 15,045.49

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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.