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Finding the Fourth Proportional to 16,410.16, 24,612.24 and 7,051.84

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Solution

The fourth proportional to 16,410.16, 24,612.24 and 7,051.84 is: 10,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.16 : 24,612.24 = 7,051.84 : x
  2. Step 2: Convert to fraction form
    16,410.16/24,612.24 = 7,051.84/x
  3. Step 3: Cross multiply
    16,410.16x = 24,612.24 × 7,051.84
  4. Step 4: Simplify right side
    16,410.16x = 173,561,578.52
  5. Step 5: Solve for x
    x = 173,561,578.52/16,410.16
  6. Step 6: Final answer
    x = 10,576.47

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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.