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Finding the Fourth Proportional to 15,770.13, 23,655.19 and 6,415.23

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Solution

The fourth proportional to 15,770.13, 23,655.19 and 6,415.23 is: 9,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.13 : 23,655.19 = 6,415.23 : x
  2. Step 2: Convert to fraction form
    15,770.13/23,655.19 = 6,415.23/x
  3. Step 3: Cross multiply
    15,770.13x = 23,655.19 × 6,415.23
  4. Step 4: Simplify right side
    15,770.13x = 151,753,484.54
  5. Step 5: Solve for x
    x = 151,753,484.54/15,770.13
  6. Step 6: Final answer
    x = 9,622.84

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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.