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Finding the Fourth Proportional to 24,485.75, 36,723.15 and 9,697.98

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Solution

The fourth proportional to 24,485.75, 36,723.15 and 9,697.98 is: 14,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485.75 : 36,723.15 = 9,697.98 : x
  2. Step 2: Convert to fraction form
    24,485.75/36,723.15 = 9,697.98/x
  3. Step 3: Cross multiply
    24,485.75x = 36,723.15 × 9,697.98
  4. Step 4: Simplify right side
    24,485.75x = 356,140,374.24
  5. Step 5: Solve for x
    x = 356,140,374.24/24,485.75
  6. Step 6: Final answer
    x = 14,544.80

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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.