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Finding the Fourth Proportional to 20,795.40, 28,685.75 and 14,069.16

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Solution

The fourth proportional to 20,795.40, 28,685.75 and 14,069.16 is: 19,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,795.40 : 28,685.75 = 14,069.16 : x
  2. Step 2: Convert to fraction form
    20,795.40/28,685.75 = 14,069.16/x
  3. Step 3: Cross multiply
    20,795.40x = 28,685.75 × 14,069.16
  4. Step 4: Simplify right side
    20,795.40x = 403,584,336.12
  5. Step 5: Solve for x
    x = 403,584,336.12/20,795.40
  6. Step 6: Final answer
    x = 19,407.39

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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.