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Finding the Fourth Proportional to 24,078.50, 33,226.52 and 13,466.08

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Solution

The fourth proportional to 24,078.50, 33,226.52 and 13,466.08 is: 18,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.50 : 33,226.52 = 13,466.08 : x
  2. Step 2: Convert to fraction form
    24,078.50/33,226.52 = 13,466.08/x
  3. Step 3: Cross multiply
    24,078.50x = 33,226.52 × 13,466.08
  4. Step 4: Simplify right side
    24,078.50x = 447,430,893.38
  5. Step 5: Solve for x
    x = 447,430,893.38/24,078.50
  6. Step 6: Final answer
    x = 18,582.18

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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.