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Finding the Fourth Proportional to 13,034.35, 19,548.52 and 7,770.84

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Solution

The fourth proportional to 13,034.35, 19,548.52 and 7,770.84 is: 11,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.35 : 19,548.52 = 7,770.84 : x
  2. Step 2: Convert to fraction form
    13,034.35/19,548.52 = 7,770.84/x
  3. Step 3: Cross multiply
    13,034.35x = 19,548.52 × 7,770.84
  4. Step 4: Simplify right side
    13,034.35x = 151,908,421.16
  5. Step 5: Solve for x
    x = 151,908,421.16/13,034.35
  6. Step 6: Final answer
    x = 11,654.47

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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.