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Finding the Fourth Proportional to 25,165.83, 37,754.23 and 7,637.03

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Solution

The fourth proportional to 25,165.83, 37,754.23 and 7,637.03 is: 11,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.83 : 37,754.23 = 7,637.03 : x
  2. Step 2: Convert to fraction form
    25,165.83/37,754.23 = 7,637.03/x
  3. Step 3: Cross multiply
    25,165.83x = 37,754.23 × 7,637.03
  4. Step 4: Simplify right side
    25,165.83x = 288,330,187.14
  5. Step 5: Solve for x
    x = 288,330,187.14/25,165.83
  6. Step 6: Final answer
    x = 11,457.21

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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.