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Finding the Fourth Proportional to 16,548, 24,821.99 and 11,639.60

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Solution

The fourth proportional to 16,548, 24,821.99 and 11,639.60 is: 17,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 24,821.99 = 11,639.60 : x
  2. Step 2: Convert to fraction form
    16,548/24,821.99 = 11,639.60/x
  3. Step 3: Cross multiply
    16,548x = 24,821.99 × 11,639.60
  4. Step 4: Simplify right side
    16,548x = 288,917,852.50
  5. Step 5: Solve for x
    x = 288,917,852.50/16,548
  6. Step 6: Final answer
    x = 17,459.38

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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.