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Finding the Fourth Proportional to 25,168.32, 37,758.56 and 7,637.09

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Solution

The fourth proportional to 25,168.32, 37,758.56 and 7,637.09 is: 11,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,168.32 : 37,758.56 = 7,637.09 : x
  2. Step 2: Convert to fraction form
    25,168.32/37,758.56 = 7,637.09/x
  3. Step 3: Cross multiply
    25,168.32x = 37,758.56 × 7,637.09
  4. Step 4: Simplify right side
    25,168.32x = 288,365,294.01
  5. Step 5: Solve for x
    x = 288,365,294.01/25,168.32
  6. Step 6: Final answer
    x = 11,457.47

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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.