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Finding the Fourth Proportional to 17,383.10, 23,989.05 and 9,828.99

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Solution

The fourth proportional to 17,383.10, 23,989.05 and 9,828.99 is: 13,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.10 : 23,989.05 = 9,828.99 : x
  2. Step 2: Convert to fraction form
    17,383.10/23,989.05 = 9,828.99/x
  3. Step 3: Cross multiply
    17,383.10x = 23,989.05 × 9,828.99
  4. Step 4: Simplify right side
    17,383.10x = 235,788,132.56
  5. Step 5: Solve for x
    x = 235,788,132.56/17,383.10
  6. Step 6: Final answer
    x = 13,564.22

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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.