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Finding the Fourth Proportional to 17,322.92, 25,959.74 and 13,409

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Solution

The fourth proportional to 17,322.92, 25,959.74 and 13,409 is: 20,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.92 : 25,959.74 = 13,409 : x
  2. Step 2: Convert to fraction form
    17,322.92/25,959.74 = 13,409/x
  3. Step 3: Cross multiply
    17,322.92x = 25,959.74 × 13,409
  4. Step 4: Simplify right side
    17,322.92x = 348,094,153.66
  5. Step 5: Solve for x
    x = 348,094,153.66/17,322.92
  6. Step 6: Final answer
    x = 20,094.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.