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Finding the Fourth Proportional to 17,368, 23,967.70 and 9,410.20

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Solution

The fourth proportional to 17,368, 23,967.70 and 9,410.20 is: 12,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368 : 23,967.70 = 9,410.20 : x
  2. Step 2: Convert to fraction form
    17,368/23,967.70 = 9,410.20/x
  3. Step 3: Cross multiply
    17,368x = 23,967.70 × 9,410.20
  4. Step 4: Simplify right side
    17,368x = 225,540,850.54
  5. Step 5: Solve for x
    x = 225,540,850.54/17,368
  6. Step 6: Final answer
    x = 12,986.00

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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.