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Finding the Fourth Proportional to 24,690.84, 37,028.58 and 8,271

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Solution

The fourth proportional to 24,690.84, 37,028.58 and 8,271 is: 12,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690.84 : 37,028.58 = 8,271 : x
  2. Step 2: Convert to fraction form
    24,690.84/37,028.58 = 8,271/x
  3. Step 3: Cross multiply
    24,690.84x = 37,028.58 × 8,271
  4. Step 4: Simplify right side
    24,690.84x = 306,263,385.18
  5. Step 5: Solve for x
    x = 306,263,385.18/24,690.84
  6. Step 6: Final answer
    x = 12,403.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.