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Finding the Fourth Proportional to 25,674.40, 38,511.60 and 7,206.40

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Solution

The fourth proportional to 25,674.40, 38,511.60 and 7,206.40 is: 10,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.40 : 38,511.60 = 7,206.40 : x
  2. Step 2: Convert to fraction form
    25,674.40/38,511.60 = 7,206.40/x
  3. Step 3: Cross multiply
    25,674.40x = 38,511.60 × 7,206.40
  4. Step 4: Simplify right side
    25,674.40x = 277,529,994.24
  5. Step 5: Solve for x
    x = 277,529,994.24/25,674.40
  6. Step 6: Final answer
    x = 10,809.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.