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Finding the Fourth Proportional to 16,440.84, 24,658.56 and 7,078.34

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Solution

The fourth proportional to 16,440.84, 24,658.56 and 7,078.34 is: 10,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440.84 : 24,658.56 = 7,078.34 : x
  2. Step 2: Convert to fraction form
    16,440.84/24,658.56 = 7,078.34/x
  3. Step 3: Cross multiply
    16,440.84x = 24,658.56 × 7,078.34
  4. Step 4: Simplify right side
    16,440.84x = 174,541,594.53
  5. Step 5: Solve for x
    x = 174,541,594.53/16,440.84
  6. Step 6: Final answer
    x = 10,616.34

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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.