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Finding the Fourth Proportional to 17,770.29, 24,530.85 and 10,602.70

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Solution

The fourth proportional to 17,770.29, 24,530.85 and 10,602.70 is: 14,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.29 : 24,530.85 = 10,602.70 : x
  2. Step 2: Convert to fraction form
    17,770.29/24,530.85 = 10,602.70/x
  3. Step 3: Cross multiply
    17,770.29x = 24,530.85 × 10,602.70
  4. Step 4: Simplify right side
    17,770.29x = 260,093,181.97
  5. Step 5: Solve for x
    x = 260,093,181.97/17,770.29
  6. Step 6: Final answer
    x = 14,636.41

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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.