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Finding the Fourth Proportional to 25,125.33, 37,681.92 and 7,596.57

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Solution

The fourth proportional to 25,125.33, 37,681.92 and 7,596.57 is: 11,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125.33 : 37,681.92 = 7,596.57 : x
  2. Step 2: Convert to fraction form
    25,125.33/37,681.92 = 7,596.57/x
  3. Step 3: Cross multiply
    25,125.33x = 37,681.92 × 7,596.57
  4. Step 4: Simplify right side
    25,125.33x = 286,253,343.01
  5. Step 5: Solve for x
    x = 286,253,343.01/25,125.33
  6. Step 6: Final answer
    x = 11,393.02

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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.