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Finding the Fourth Proportional to 17,429, 24,055.26 and 9,977

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Solution

The fourth proportional to 17,429, 24,055.26 and 9,977 is: 13,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429 : 24,055.26 = 9,977 : x
  2. Step 2: Convert to fraction form
    17,429/24,055.26 = 9,977/x
  3. Step 3: Cross multiply
    17,429x = 24,055.26 × 9,977
  4. Step 4: Simplify right side
    17,429x = 239,999,329.02
  5. Step 5: Solve for x
    x = 239,999,329.02/17,429
  6. Step 6: Final answer
    x = 13,770.11

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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.