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Finding the Fourth Proportional to 17,784.60, 26,641.80 and 9,025.80

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Solution

The fourth proportional to 17,784.60, 26,641.80 and 9,025.80 is: 13,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.60 : 26,641.80 = 9,025.80 : x
  2. Step 2: Convert to fraction form
    17,784.60/26,641.80 = 9,025.80/x
  3. Step 3: Cross multiply
    17,784.60x = 26,641.80 × 9,025.80
  4. Step 4: Simplify right side
    17,784.60x = 240,463,558.44
  5. Step 5: Solve for x
    x = 240,463,558.44/17,784.60
  6. Step 6: Final answer
    x = 13,520.89

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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.