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Finding the Fourth Proportional to 20,507.60, 28,296.70 and 12,009.28

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Solution

The fourth proportional to 20,507.60, 28,296.70 and 12,009.28 is: 16,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.60 : 28,296.70 = 12,009.28 : x
  2. Step 2: Convert to fraction form
    20,507.60/28,296.70 = 12,009.28/x
  3. Step 3: Cross multiply
    20,507.60x = 28,296.70 × 12,009.28
  4. Step 4: Simplify right side
    20,507.60x = 339,822,993.38
  5. Step 5: Solve for x
    x = 339,822,993.38/20,507.60
  6. Step 6: Final answer
    x = 16,570.59

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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.