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Finding the Fourth Proportional to 25,116, 37,673.09 and 7,585.38

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Solution

The fourth proportional to 25,116, 37,673.09 and 7,585.38 is: 11,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116 : 37,673.09 = 7,585.38 : x
  2. Step 2: Convert to fraction form
    25,116/37,673.09 = 7,585.38/x
  3. Step 3: Cross multiply
    25,116x = 37,673.09 × 7,585.38
  4. Step 4: Simplify right side
    25,116x = 285,764,703.42
  5. Step 5: Solve for x
    x = 285,764,703.42/25,116
  6. Step 6: Final answer
    x = 11,377.80

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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.