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Finding the Fourth Proportional to 25,674.30, 38,511.45 and 7,206.30

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Solution

The fourth proportional to 25,674.30, 38,511.45 and 7,206.30 is: 10,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.30 : 38,511.45 = 7,206.30 : x
  2. Step 2: Convert to fraction form
    25,674.30/38,511.45 = 7,206.30/x
  3. Step 3: Cross multiply
    25,674.30x = 38,511.45 × 7,206.30
  4. Step 4: Simplify right side
    25,674.30x = 277,525,062.14
  5. Step 5: Solve for x
    x = 277,525,062.14/25,674.30
  6. Step 6: Final answer
    x = 10,809.45

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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.