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Finding the Fourth Proportional to 14,121.30, 21,174.93 and 6,329.10

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Solution

The fourth proportional to 14,121.30, 21,174.93 and 6,329.10 is: 9,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.30 : 21,174.93 = 6,329.10 : x
  2. Step 2: Convert to fraction form
    14,121.30/21,174.93 = 6,329.10/x
  3. Step 3: Cross multiply
    14,121.30x = 21,174.93 × 6,329.10
  4. Step 4: Simplify right side
    14,121.30x = 134,018,249.46
  5. Step 5: Solve for x
    x = 134,018,249.46/14,121.30
  6. Step 6: Final answer
    x = 9,490.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.