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Finding the Fourth Proportional to 17,305.69, 23,880.23 and 9,750.78

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Solution

The fourth proportional to 17,305.69, 23,880.23 and 9,750.78 is: 13,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,305.69 : 23,880.23 = 9,750.78 : x
  2. Step 2: Convert to fraction form
    17,305.69/23,880.23 = 9,750.78/x
  3. Step 3: Cross multiply
    17,305.69x = 23,880.23 × 9,750.78
  4. Step 4: Simplify right side
    17,305.69x = 232,850,869.08
  5. Step 5: Solve for x
    x = 232,850,869.08/17,305.69
  6. Step 6: Final answer
    x = 13,455.16

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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.