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Finding the Fourth Proportional to 25,277.06, 37,915.59 and 6,809.06

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Solution

The fourth proportional to 25,277.06, 37,915.59 and 6,809.06 is: 10,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.06 : 37,915.59 = 6,809.06 : x
  2. Step 2: Convert to fraction form
    25,277.06/37,915.59 = 6,809.06/x
  3. Step 3: Cross multiply
    25,277.06x = 37,915.59 × 6,809.06
  4. Step 4: Simplify right side
    25,277.06x = 258,169,647.57
  5. Step 5: Solve for x
    x = 258,169,647.57/25,277.06
  6. Step 6: Final answer
    x = 10,213.59

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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.