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Finding the Fourth Proportional to 24,477.36, 36,650.16 and 12,765.84

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Solution

The fourth proportional to 24,477.36, 36,650.16 and 12,765.84 is: 19,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.36 : 36,650.16 = 12,765.84 : x
  2. Step 2: Convert to fraction form
    24,477.36/36,650.16 = 12,765.84/x
  3. Step 3: Cross multiply
    24,477.36x = 36,650.16 × 12,765.84
  4. Step 4: Simplify right side
    24,477.36x = 467,870,078.53
  5. Step 5: Solve for x
    x = 467,870,078.53/24,477.36
  6. Step 6: Final answer
    x = 19,114.40

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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.