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Finding the Fourth Proportional to 19,144, 26,418.24 and 10,646.16

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Solution

The fourth proportional to 19,144, 26,418.24 and 10,646.16 is: 14,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144 : 26,418.24 = 10,646.16 : x
  2. Step 2: Convert to fraction form
    19,144/26,418.24 = 10,646.16/x
  3. Step 3: Cross multiply
    19,144x = 26,418.24 × 10,646.16
  4. Step 4: Simplify right side
    19,144x = 281,252,809.96
  5. Step 5: Solve for x
    x = 281,252,809.96/19,144
  6. Step 6: Final answer
    x = 14,691.43

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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.