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Finding the Fourth Proportional to 15,770.96, 23,656.56 and 7,003.52

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Solution

The fourth proportional to 15,770.96, 23,656.56 and 7,003.52 is: 10,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.96 : 23,656.56 = 7,003.52 : x
  2. Step 2: Convert to fraction form
    15,770.96/23,656.56 = 7,003.52/x
  3. Step 3: Cross multiply
    15,770.96x = 23,656.56 × 7,003.52
  4. Step 4: Simplify right side
    15,770.96x = 165,679,191.09
  5. Step 5: Solve for x
    x = 165,679,191.09/15,770.96
  6. Step 6: Final answer
    x = 10,505.33

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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.