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Finding the Fourth Proportional to 25,184.93, 37,778.74 and 7,653.42

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Solution

The fourth proportional to 25,184.93, 37,778.74 and 7,653.42 is: 11,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.93 : 37,778.74 = 7,653.42 : x
  2. Step 2: Convert to fraction form
    25,184.93/37,778.74 = 7,653.42/x
  3. Step 3: Cross multiply
    25,184.93x = 37,778.74 × 7,653.42
  4. Step 4: Simplify right side
    25,184.93x = 289,136,545.16
  5. Step 5: Solve for x
    x = 289,136,545.16/25,184.93
  6. Step 6: Final answer
    x = 11,480.54

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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.