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Finding the Fourth Proportional to 24,449.84, 36,679.46 and 10,409.60

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Solution

The fourth proportional to 24,449.84, 36,679.46 and 10,409.60 is: 15,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.84 : 36,679.46 = 10,409.60 : x
  2. Step 2: Convert to fraction form
    24,449.84/36,679.46 = 10,409.60/x
  3. Step 3: Cross multiply
    24,449.84x = 36,679.46 × 10,409.60
  4. Step 4: Simplify right side
    24,449.84x = 381,818,271.37
  5. Step 5: Solve for x
    x = 381,818,271.37/24,449.84
  6. Step 6: Final answer
    x = 15,616.39

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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.