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Finding the Fourth Proportional to 13,580.30, 20,374.14 and 12,279

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Solution

The fourth proportional to 13,580.30, 20,374.14 and 12,279 is: 18,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.30 : 20,374.14 = 12,279 : x
  2. Step 2: Convert to fraction form
    13,580.30/20,374.14 = 12,279/x
  3. Step 3: Cross multiply
    13,580.30x = 20,374.14 × 12,279
  4. Step 4: Simplify right side
    13,580.30x = 250,174,065.06
  5. Step 5: Solve for x
    x = 250,174,065.06/13,580.30
  6. Step 6: Final answer
    x = 18,421.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.