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Finding the Fourth Proportional to 37,651.62, 56,457.24 and 12,683.40

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Solution

The fourth proportional to 37,651.62, 56,457.24 and 12,683.40 is: 19,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,651.62 : 56,457.24 = 12,683.40 : x
  2. Step 2: Convert to fraction form
    37,651.62/56,457.24 = 12,683.40/x
  3. Step 3: Cross multiply
    37,651.62x = 56,457.24 × 12,683.40
  4. Step 4: Simplify right side
    37,651.62x = 716,069,757.82
  5. Step 5: Solve for x
    x = 716,069,757.82/37,651.62
  6. Step 6: Final answer
    x = 19,018.30

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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.