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Finding the Fourth Proportional to 17,251, 23,806.54 and 9,799.16

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Solution

The fourth proportional to 17,251, 23,806.54 and 9,799.16 is: 13,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,251 : 23,806.54 = 9,799.16 : x
  2. Step 2: Convert to fraction form
    17,251/23,806.54 = 9,799.16/x
  3. Step 3: Cross multiply
    17,251x = 23,806.54 × 9,799.16
  4. Step 4: Simplify right side
    17,251x = 233,284,094.51
  5. Step 5: Solve for x
    x = 233,284,094.51/17,251
  6. Step 6: Final answer
    x = 13,522.93

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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.