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Finding the Fourth Proportional to 24,376.70, 36,562.21 and 6,848.03

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Solution

The fourth proportional to 24,376.70, 36,562.21 and 6,848.03 is: 10,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.70 : 36,562.21 = 6,848.03 : x
  2. Step 2: Convert to fraction form
    24,376.70/36,562.21 = 6,848.03/x
  3. Step 3: Cross multiply
    24,376.70x = 36,562.21 × 6,848.03
  4. Step 4: Simplify right side
    24,376.70x = 250,378,893.90
  5. Step 5: Solve for x
    x = 250,378,893.90/24,376.70
  6. Step 6: Final answer
    x = 10,271.24

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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.