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Finding the Fourth Proportional to 14,615.40, 21,900.42 and 10,900.20

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Solution

The fourth proportional to 14,615.40, 21,900.42 and 10,900.20 is: 16,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.40 : 21,900.42 = 10,900.20 : x
  2. Step 2: Convert to fraction form
    14,615.40/21,900.42 = 10,900.20/x
  3. Step 3: Cross multiply
    14,615.40x = 21,900.42 × 10,900.20
  4. Step 4: Simplify right side
    14,615.40x = 238,718,958.08
  5. Step 5: Solve for x
    x = 238,718,958.08/14,615.40
  6. Step 6: Final answer
    x = 16,333.39

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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.