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Finding the Fourth Proportional to 17,790, 24,554.88 and 10,237.20

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Solution

The fourth proportional to 17,790, 24,554.88 and 10,237.20 is: 14,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790 : 24,554.88 = 10,237.20 : x
  2. Step 2: Convert to fraction form
    17,790/24,554.88 = 10,237.20/x
  3. Step 3: Cross multiply
    17,790x = 24,554.88 × 10,237.20
  4. Step 4: Simplify right side
    17,790x = 251,373,217.54
  5. Step 5: Solve for x
    x = 251,373,217.54/17,790
  6. Step 6: Final answer
    x = 14,130.03

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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.