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Finding the Fourth Proportional to 20,782.89, 28,681.86 and 11,830.40

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Solution

The fourth proportional to 20,782.89, 28,681.86 and 11,830.40 is: 16,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.89 : 28,681.86 = 11,830.40 : x
  2. Step 2: Convert to fraction form
    20,782.89/28,681.86 = 11,830.40/x
  3. Step 3: Cross multiply
    20,782.89x = 28,681.86 × 11,830.40
  4. Step 4: Simplify right side
    20,782.89x = 339,317,733.13
  5. Step 5: Solve for x
    x = 339,317,733.13/20,782.89
  6. Step 6: Final answer
    x = 16,326.78

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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.