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Finding the Fourth Proportional to 15,697, 21,674.82 and 13,580.20

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Solution

The fourth proportional to 15,697, 21,674.82 and 13,580.20 is: 18,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697 : 21,674.82 = 13,580.20 : x
  2. Step 2: Convert to fraction form
    15,697/21,674.82 = 13,580.20/x
  3. Step 3: Cross multiply
    15,697x = 21,674.82 × 13,580.20
  4. Step 4: Simplify right side
    15,697x = 294,348,390.56
  5. Step 5: Solve for x
    x = 294,348,390.56/15,697
  6. Step 6: Final answer
    x = 18,751.89

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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.