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Finding the Fourth Proportional to 25,021.30, 37,532.64 and 8,378.23

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Solution

The fourth proportional to 25,021.30, 37,532.64 and 8,378.23 is: 12,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,021.30 : 37,532.64 = 8,378.23 : x
  2. Step 2: Convert to fraction form
    25,021.30/37,532.64 = 8,378.23/x
  3. Step 3: Cross multiply
    25,021.30x = 37,532.64 × 8,378.23
  4. Step 4: Simplify right side
    25,021.30x = 314,457,090.43
  5. Step 5: Solve for x
    x = 314,457,090.43/25,021.30
  6. Step 6: Final answer
    x = 12,567.58

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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.