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Finding the Fourth Proportional to 17,804.80, 24,569.63 and 9,736.86

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Solution

The fourth proportional to 17,804.80, 24,569.63 and 9,736.86 is: 13,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.80 : 24,569.63 = 9,736.86 : x
  2. Step 2: Convert to fraction form
    17,804.80/24,569.63 = 9,736.86/x
  3. Step 3: Cross multiply
    17,804.80x = 24,569.63 × 9,736.86
  4. Step 4: Simplify right side
    17,804.80x = 239,231,084.64
  5. Step 5: Solve for x
    x = 239,231,084.64/17,804.80
  6. Step 6: Final answer
    x = 13,436.33

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1.5x scale

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.