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Finding the Fourth Proportional to 24,775.42, 37,170.69 and 7,907.98

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Solution

The fourth proportional to 24,775.42, 37,170.69 and 7,907.98 is: 11,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.42 : 37,170.69 = 7,907.98 : x
  2. Step 2: Convert to fraction form
    24,775.42/37,170.69 = 7,907.98/x
  3. Step 3: Cross multiply
    24,775.42x = 37,170.69 × 7,907.98
  4. Step 4: Simplify right side
    24,775.42x = 293,945,073.11
  5. Step 5: Solve for x
    x = 293,945,073.11/24,775.42
  6. Step 6: Final answer
    x = 11,864.38

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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.