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Finding the Fourth Proportional to 24,758.84, 37,140.46 and 6,989.63

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Solution

The fourth proportional to 24,758.84, 37,140.46 and 6,989.63 is: 10,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.84 : 37,140.46 = 6,989.63 : x
  2. Step 2: Convert to fraction form
    24,758.84/37,140.46 = 6,989.63/x
  3. Step 3: Cross multiply
    24,758.84x = 37,140.46 × 6,989.63
  4. Step 4: Simplify right side
    24,758.84x = 259,597,870.25
  5. Step 5: Solve for x
    x = 259,597,870.25/24,758.84
  6. Step 6: Final answer
    x = 10,485.06

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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.