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Finding the Fourth Proportional to 25,314.36, 37,971.63 and 7,784.07

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Solution

The fourth proportional to 25,314.36, 37,971.63 and 7,784.07 is: 11,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.36 : 37,971.63 = 7,784.07 : x
  2. Step 2: Convert to fraction form
    25,314.36/37,971.63 = 7,784.07/x
  3. Step 3: Cross multiply
    25,314.36x = 37,971.63 × 7,784.07
  4. Step 4: Simplify right side
    25,314.36x = 295,573,825.93
  5. Step 5: Solve for x
    x = 295,573,825.93/25,314.36
  6. Step 6: Final answer
    x = 11,676.13

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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.