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Finding the Fourth Proportional to 25,102.40, 37,653.60 and 6,382.40

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Solution

The fourth proportional to 25,102.40, 37,653.60 and 6,382.40 is: 9,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.40 : 37,653.60 = 6,382.40 : x
  2. Step 2: Convert to fraction form
    25,102.40/37,653.60 = 6,382.40/x
  3. Step 3: Cross multiply
    25,102.40x = 37,653.60 × 6,382.40
  4. Step 4: Simplify right side
    25,102.40x = 240,320,336.64
  5. Step 5: Solve for x
    x = 240,320,336.64/25,102.40
  6. Step 6: Final answer
    x = 9,573.60

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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.