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Finding the Fourth Proportional to 25,211.54, 37,806.33 and 7,677.26

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Solution

The fourth proportional to 25,211.54, 37,806.33 and 7,677.26 is: 11,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.54 : 37,806.33 = 7,677.26 : x
  2. Step 2: Convert to fraction form
    25,211.54/37,806.33 = 7,677.26/x
  3. Step 3: Cross multiply
    25,211.54x = 37,806.33 × 7,677.26
  4. Step 4: Simplify right side
    25,211.54x = 290,249,025.06
  5. Step 5: Solve for x
    x = 290,249,025.06/25,211.54
  6. Step 6: Final answer
    x = 11,512.55

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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.