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Finding the Fourth Proportional to 17,412, 24,028.72 and 9,454.40

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Solution

The fourth proportional to 17,412, 24,028.72 and 9,454.40 is: 13,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 24,028.72 = 9,454.40 : x
  2. Step 2: Convert to fraction form
    17,412/24,028.72 = 9,454.40/x
  3. Step 3: Cross multiply
    17,412x = 24,028.72 × 9,454.40
  4. Step 4: Simplify right side
    17,412x = 227,177,130.37
  5. Step 5: Solve for x
    x = 227,177,130.37/17,412
  6. Step 6: Final answer
    x = 13,047.16

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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.