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Finding the Fourth Proportional to 25,466.15, 38,199.48 and 7,696.95

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Solution

The fourth proportional to 25,466.15, 38,199.48 and 7,696.95 is: 11,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466.15 : 38,199.48 = 7,696.95 : x
  2. Step 2: Convert to fraction form
    25,466.15/38,199.48 = 7,696.95/x
  3. Step 3: Cross multiply
    25,466.15x = 38,199.48 × 7,696.95
  4. Step 4: Simplify right side
    25,466.15x = 294,019,449.97
  5. Step 5: Solve for x
    x = 294,019,449.97/25,466.15
  6. Step 6: Final answer
    x = 11,545.50

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Why These Related Problems?

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