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Finding the Fourth Proportional to 14,526.34, 21,770.07 and 8,290.42

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Solution

The fourth proportional to 14,526.34, 21,770.07 and 8,290.42 is: 12,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.34 : 21,770.07 = 8,290.42 : x
  2. Step 2: Convert to fraction form
    14,526.34/21,770.07 = 8,290.42/x
  3. Step 3: Cross multiply
    14,526.34x = 21,770.07 × 8,290.42
  4. Step 4: Simplify right side
    14,526.34x = 180,483,023.73
  5. Step 5: Solve for x
    x = 180,483,023.73/14,526.34
  6. Step 6: Final answer
    x = 12,424.54

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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.