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Finding the Fourth Proportional to 12,770.10, 17,623.08 and 7,733.25

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Solution

The fourth proportional to 12,770.10, 17,623.08 and 7,733.25 is: 10,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.10 : 17,623.08 = 7,733.25 : x
  2. Step 2: Convert to fraction form
    12,770.10/17,623.08 = 7,733.25/x
  3. Step 3: Cross multiply
    12,770.10x = 17,623.08 × 7,733.25
  4. Step 4: Simplify right side
    12,770.10x = 136,283,683.41
  5. Step 5: Solve for x
    x = 136,283,683.41/12,770.10
  6. Step 6: Final answer
    x = 10,672.09

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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.