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Finding the Fourth Proportional to 16,485.84, 22,750.38 and 9,033.84

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Solution

The fourth proportional to 16,485.84, 22,750.38 and 9,033.84 is: 12,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.84 : 22,750.38 = 9,033.84 : x
  2. Step 2: Convert to fraction form
    16,485.84/22,750.38 = 9,033.84/x
  3. Step 3: Cross multiply
    16,485.84x = 22,750.38 × 9,033.84
  4. Step 4: Simplify right side
    16,485.84x = 205,523,292.86
  5. Step 5: Solve for x
    x = 205,523,292.86/16,485.84
  6. Step 6: Final answer
    x = 12,466.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.