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Finding the Fourth Proportional to 17,208.23, 23,746.97 and 9,654.42

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Solution

The fourth proportional to 17,208.23, 23,746.97 and 9,654.42 is: 13,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208.23 : 23,746.97 = 9,654.42 : x
  2. Step 2: Convert to fraction form
    17,208.23/23,746.97 = 9,654.42/x
  3. Step 3: Cross multiply
    17,208.23x = 23,746.97 × 9,654.42
  4. Step 4: Simplify right side
    17,208.23x = 229,263,222.11
  5. Step 5: Solve for x
    x = 229,263,222.11/17,208.23
  6. Step 6: Final answer
    x = 13,322.89

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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.