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Finding the Fourth Proportional to 25,176.68, 37,762.56 and 7,646.66

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Solution

The fourth proportional to 25,176.68, 37,762.56 and 7,646.66 is: 11,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.68 : 37,762.56 = 7,646.66 : x
  2. Step 2: Convert to fraction form
    25,176.68/37,762.56 = 7,646.66/x
  3. Step 3: Cross multiply
    25,176.68x = 37,762.56 × 7,646.66
  4. Step 4: Simplify right side
    25,176.68x = 288,757,457.05
  5. Step 5: Solve for x
    x = 288,757,457.05/25,176.68
  6. Step 6: Final answer
    x = 11,469.24

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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.