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Finding the Fourth Proportional to 24,797.36, 37,185.84 and 12,312.80

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Solution

The fourth proportional to 24,797.36, 37,185.84 and 12,312.80 is: 18,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.36 : 37,185.84 = 12,312.80 : x
  2. Step 2: Convert to fraction form
    24,797.36/37,185.84 = 12,312.80/x
  3. Step 3: Cross multiply
    24,797.36x = 37,185.84 × 12,312.80
  4. Step 4: Simplify right side
    24,797.36x = 457,861,810.75
  5. Step 5: Solve for x
    x = 457,861,810.75/24,797.36
  6. Step 6: Final answer
    x = 18,464.14

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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.