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Finding the Fourth Proportional to 20,703.69, 28,542.38 and 13,978.67

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Solution

The fourth proportional to 20,703.69, 28,542.38 and 13,978.67 is: 19,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.69 : 28,542.38 = 13,978.67 : x
  2. Step 2: Convert to fraction form
    20,703.69/28,542.38 = 13,978.67/x
  3. Step 3: Cross multiply
    20,703.69x = 28,542.38 × 13,978.67
  4. Step 4: Simplify right side
    20,703.69x = 398,984,403.27
  5. Step 5: Solve for x
    x = 398,984,403.27/20,703.69
  6. Step 6: Final answer
    x = 19,271.17

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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.