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Finding the Fourth Proportional to 16,406.16, 24,555.24 and 11,653.20

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Solution

The fourth proportional to 16,406.16, 24,555.24 and 11,653.20 is: 17,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.16 : 24,555.24 = 11,653.20 : x
  2. Step 2: Convert to fraction form
    16,406.16/24,555.24 = 11,653.20/x
  3. Step 3: Cross multiply
    16,406.16x = 24,555.24 × 11,653.20
  4. Step 4: Simplify right side
    16,406.16x = 286,147,122.77
  5. Step 5: Solve for x
    x = 286,147,122.77/16,406.16
  6. Step 6: Final answer
    x = 17,441.44

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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.