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Finding the Fourth Proportional to 21,919.50, 30,248.91 and 13,536

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Solution

The fourth proportional to 21,919.50, 30,248.91 and 13,536 is: 18,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.50 : 30,248.91 = 13,536 : x
  2. Step 2: Convert to fraction form
    21,919.50/30,248.91 = 13,536/x
  3. Step 3: Cross multiply
    21,919.50x = 30,248.91 × 13,536
  4. Step 4: Simplify right side
    21,919.50x = 409,449,245.76
  5. Step 5: Solve for x
    x = 409,449,245.76/21,919.50
  6. Step 6: Final answer
    x = 18,679.68

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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.