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Finding the Fourth Proportional to 19,767.85, 27,296.26 and 14,119.93

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Solution

The fourth proportional to 19,767.85, 27,296.26 and 14,119.93 is: 19,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.85 : 27,296.26 = 14,119.93 : x
  2. Step 2: Convert to fraction form
    19,767.85/27,296.26 = 14,119.93/x
  3. Step 3: Cross multiply
    19,767.85x = 27,296.26 × 14,119.93
  4. Step 4: Simplify right side
    19,767.85x = 385,421,280.46
  5. Step 5: Solve for x
    x = 385,421,280.46/19,767.85
  6. Step 6: Final answer
    x = 19,497.38

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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.