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Finding the Fourth Proportional to 25,213.60, 37,820.40 and 7,683.40

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Solution

The fourth proportional to 25,213.60, 37,820.40 and 7,683.40 is: 11,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.60 : 37,820.40 = 7,683.40 : x
  2. Step 2: Convert to fraction form
    25,213.60/37,820.40 = 7,683.40/x
  3. Step 3: Cross multiply
    25,213.60x = 37,820.40 × 7,683.40
  4. Step 4: Simplify right side
    25,213.60x = 290,589,261.36
  5. Step 5: Solve for x
    x = 290,589,261.36/25,213.60
  6. Step 6: Final answer
    x = 11,525.10

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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.