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Finding the Fourth Proportional to 20,281.86, 27,980.64 and 12,322.80

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Solution

The fourth proportional to 20,281.86, 27,980.64 and 12,322.80 is: 17,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.86 : 27,980.64 = 12,322.80 : x
  2. Step 2: Convert to fraction form
    20,281.86/27,980.64 = 12,322.80/x
  3. Step 3: Cross multiply
    20,281.86x = 27,980.64 × 12,322.80
  4. Step 4: Simplify right side
    20,281.86x = 344,799,830.59
  5. Step 5: Solve for x
    x = 344,799,830.59/20,281.86
  6. Step 6: Final answer
    x = 17,000.40

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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.