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Finding the Fourth Proportional to 17,329.30, 23,914.43 and 9,775.61

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Solution

The fourth proportional to 17,329.30, 23,914.43 and 9,775.61 is: 13,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.30 : 23,914.43 = 9,775.61 : x
  2. Step 2: Convert to fraction form
    17,329.30/23,914.43 = 9,775.61/x
  3. Step 3: Cross multiply
    17,329.30x = 23,914.43 × 9,775.61
  4. Step 4: Simplify right side
    17,329.30x = 233,778,141.05
  5. Step 5: Solve for x
    x = 233,778,141.05/17,329.30
  6. Step 6: Final answer
    x = 13,490.34

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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.