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Finding the Fourth Proportional to 18,364.42, 25,342.36 and 10,409.21

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Solution

The fourth proportional to 18,364.42, 25,342.36 and 10,409.21 is: 14,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,364.42 : 25,342.36 = 10,409.21 : x
  2. Step 2: Convert to fraction form
    18,364.42/25,342.36 = 10,409.21/x
  3. Step 3: Cross multiply
    18,364.42x = 25,342.36 × 10,409.21
  4. Step 4: Simplify right side
    18,364.42x = 263,793,947.14
  5. Step 5: Solve for x
    x = 263,793,947.14/18,364.42
  6. Step 6: Final answer
    x = 14,364.40

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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.