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Finding the Fourth Proportional to 14,121.90, 19,814.40 and 14,121.90

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Solution

The fourth proportional to 14,121.90, 19,814.40 and 14,121.90 is: 19,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.90 : 19,814.40 = 14,121.90 : x
  2. Step 2: Convert to fraction form
    14,121.90/19,814.40 = 14,121.90/x
  3. Step 3: Cross multiply
    14,121.90x = 19,814.40 × 14,121.90
  4. Step 4: Simplify right side
    14,121.90x = 279,816,975.36
  5. Step 5: Solve for x
    x = 279,816,975.36/14,121.90
  6. Step 6: Final answer
    x = 19,814.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.