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Finding the Fourth Proportional to 13,034.40, 19,548.58 and 7,770.89

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Solution

The fourth proportional to 13,034.40, 19,548.58 and 7,770.89 is: 11,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.40 : 19,548.58 = 7,770.89 : x
  2. Step 2: Convert to fraction form
    13,034.40/19,548.58 = 7,770.89/x
  3. Step 3: Cross multiply
    13,034.40x = 19,548.58 × 7,770.89
  4. Step 4: Simplify right side
    13,034.40x = 151,909,864.84
  5. Step 5: Solve for x
    x = 151,909,864.84/13,034.40
  6. Step 6: Final answer
    x = 11,654.53

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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.