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Finding the Fourth Proportional to 20,525.98, 28,284 and 14,154.52

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Solution

The fourth proportional to 20,525.98, 28,284 and 14,154.52 is: 19,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.98 : 28,284 = 14,154.52 : x
  2. Step 2: Convert to fraction form
    20,525.98/28,284 = 14,154.52/x
  3. Step 3: Cross multiply
    20,525.98x = 28,284 × 14,154.52
  4. Step 4: Simplify right side
    20,525.98x = 400,346,443.68
  5. Step 5: Solve for x
    x = 400,346,443.68/20,525.98
  6. Step 6: Final answer
    x = 19,504.38

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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.