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Finding the Fourth Proportional to 25,316.68, 37,975.62 and 7,786.66

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Solution

The fourth proportional to 25,316.68, 37,975.62 and 7,786.66 is: 11,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,316.68 : 37,975.62 = 7,786.66 : x
  2. Step 2: Convert to fraction form
    25,316.68/37,975.62 = 7,786.66/x
  3. Step 3: Cross multiply
    25,316.68x = 37,975.62 × 7,786.66
  4. Step 4: Simplify right side
    25,316.68x = 295,703,165.76
  5. Step 5: Solve for x
    x = 295,703,165.76/25,316.68
  6. Step 6: Final answer
    x = 11,680.17

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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.