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Finding the Fourth Proportional to 25,213.68, 37,825.96 and 7,683.02

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Solution

The fourth proportional to 25,213.68, 37,825.96 and 7,683.02 is: 11,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.68 : 37,825.96 = 7,683.02 : x
  2. Step 2: Convert to fraction form
    25,213.68/37,825.96 = 7,683.02/x
  3. Step 3: Cross multiply
    25,213.68x = 37,825.96 × 7,683.02
  4. Step 4: Simplify right side
    25,213.68x = 290,617,607.20
  5. Step 5: Solve for x
    x = 290,617,607.20/25,213.68
  6. Step 6: Final answer
    x = 11,526.19

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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.