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Finding the Fourth Proportional to 17,354.48, 23,949.05 and 9,800.78

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Solution

The fourth proportional to 17,354.48, 23,949.05 and 9,800.78 is: 13,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354.48 : 23,949.05 = 9,800.78 : x
  2. Step 2: Convert to fraction form
    17,354.48/23,949.05 = 9,800.78/x
  3. Step 3: Cross multiply
    17,354.48x = 23,949.05 × 9,800.78
  4. Step 4: Simplify right side
    17,354.48x = 234,719,201.51
  5. Step 5: Solve for x
    x = 234,719,201.51/17,354.48
  6. Step 6: Final answer
    x = 13,525.00

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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.