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Finding the Fourth Proportional to 21,748.64, 30,009.30 and 13,677.80

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Solution

The fourth proportional to 21,748.64, 30,009.30 and 13,677.80 is: 18,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.64 : 30,009.30 = 13,677.80 : x
  2. Step 2: Convert to fraction form
    21,748.64/30,009.30 = 13,677.80/x
  3. Step 3: Cross multiply
    21,748.64x = 30,009.30 × 13,677.80
  4. Step 4: Simplify right side
    21,748.64x = 410,461,203.54
  5. Step 5: Solve for x
    x = 410,461,203.54/21,748.64
  6. Step 6: Final answer
    x = 18,872.96

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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.