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Finding the Fourth Proportional to 17,732.80, 26,599.20 and 9,409.60

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Solution

The fourth proportional to 17,732.80, 26,599.20 and 9,409.60 is: 14,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.80 : 26,599.20 = 9,409.60 : x
  2. Step 2: Convert to fraction form
    17,732.80/26,599.20 = 9,409.60/x
  3. Step 3: Cross multiply
    17,732.80x = 26,599.20 × 9,409.60
  4. Step 4: Simplify right side
    17,732.80x = 250,287,832.32
  5. Step 5: Solve for x
    x = 250,287,832.32/17,732.80
  6. Step 6: Final answer
    x = 14,114.40

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1.5x scale

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.