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Finding the Fourth Proportional to 12,356.21, 17,050.29 and 7,050

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Solution

The fourth proportional to 12,356.21, 17,050.29 and 7,050 is: 9,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.21 : 17,050.29 = 7,050 : x
  2. Step 2: Convert to fraction form
    12,356.21/17,050.29 = 7,050/x
  3. Step 3: Cross multiply
    12,356.21x = 17,050.29 × 7,050
  4. Step 4: Simplify right side
    12,356.21x = 120,204,544.50
  5. Step 5: Solve for x
    x = 120,204,544.50/12,356.21
  6. Step 6: Final answer
    x = 9,728.27

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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.