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Finding the Fourth Proportional to 12,435.84, 18,653.04 and 5,508

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Solution

The fourth proportional to 12,435.84, 18,653.04 and 5,508 is: 8,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 18,653.04 = 5,508 : x
  2. Step 2: Convert to fraction form
    12,435.84/18,653.04 = 5,508/x
  3. Step 3: Cross multiply
    12,435.84x = 18,653.04 × 5,508
  4. Step 4: Simplify right side
    12,435.84x = 102,740,944.32
  5. Step 5: Solve for x
    x = 102,740,944.32/12,435.84
  6. Step 6: Final answer
    x = 8,261.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.