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Finding the Fourth Proportional to 20,054.88, 27,665.01 and 12,969

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Solution

The fourth proportional to 20,054.88, 27,665.01 and 12,969 is: 17,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.88 : 27,665.01 = 12,969 : x
  2. Step 2: Convert to fraction form
    20,054.88/27,665.01 = 12,969/x
  3. Step 3: Cross multiply
    20,054.88x = 27,665.01 × 12,969
  4. Step 4: Simplify right side
    20,054.88x = 358,787,514.69
  5. Step 5: Solve for x
    x = 358,787,514.69/20,054.88
  6. Step 6: Final answer
    x = 17,890.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.