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Finding the Fourth Proportional to 25,535.84, 38,304.04 and 7,769.39

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Solution

The fourth proportional to 25,535.84, 38,304.04 and 7,769.39 is: 11,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.84 : 38,304.04 = 7,769.39 : x
  2. Step 2: Convert to fraction form
    25,535.84/38,304.04 = 7,769.39/x
  3. Step 3: Cross multiply
    25,535.84x = 38,304.04 × 7,769.39
  4. Step 4: Simplify right side
    25,535.84x = 297,598,828.96
  5. Step 5: Solve for x
    x = 297,598,828.96/25,535.84
  6. Step 6: Final answer
    x = 11,654.16

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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.