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Finding the Fourth Proportional to 12,770.72, 17,618.74 and 9,421.50

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Solution

The fourth proportional to 12,770.72, 17,618.74 and 9,421.50 is: 12,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.72 : 17,618.74 = 9,421.50 : x
  2. Step 2: Convert to fraction form
    12,770.72/17,618.74 = 9,421.50/x
  3. Step 3: Cross multiply
    12,770.72x = 17,618.74 × 9,421.50
  4. Step 4: Simplify right side
    12,770.72x = 165,994,935.36
  5. Step 5: Solve for x
    x = 165,994,935.36/12,770.72
  6. Step 6: Final answer
    x = 12,998.09

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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.