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Finding the Fourth Proportional to 21,809.25, 30,097.17 and 12,378.42

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Solution

The fourth proportional to 21,809.25, 30,097.17 and 12,378.42 is: 17,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.25 : 30,097.17 = 12,378.42 : x
  2. Step 2: Convert to fraction form
    21,809.25/30,097.17 = 12,378.42/x
  3. Step 3: Cross multiply
    21,809.25x = 30,097.17 × 12,378.42
  4. Step 4: Simplify right side
    21,809.25x = 372,555,411.07
  5. Step 5: Solve for x
    x = 372,555,411.07/21,809.25
  6. Step 6: Final answer
    x = 17,082.45

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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.