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Finding the Fourth Proportional to 13,709.78, 20,548.13 and 6,304.08

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Solution

The fourth proportional to 13,709.78, 20,548.13 and 6,304.08 is: 9,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.78 : 20,548.13 = 6,304.08 : x
  2. Step 2: Convert to fraction form
    13,709.78/20,548.13 = 6,304.08/x
  3. Step 3: Cross multiply
    13,709.78x = 20,548.13 × 6,304.08
  4. Step 4: Simplify right side
    13,709.78x = 129,537,023.85
  5. Step 5: Solve for x
    x = 129,537,023.85/13,709.78
  6. Step 6: Final answer
    x = 9,448.52

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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.