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Finding the Fourth Proportional to 13,077, 19,601.78 and 6,404.30

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Solution

The fourth proportional to 13,077, 19,601.78 and 6,404.30 is: 9,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077 : 19,601.78 = 6,404.30 : x
  2. Step 2: Convert to fraction form
    13,077/19,601.78 = 6,404.30/x
  3. Step 3: Cross multiply
    13,077x = 19,601.78 × 6,404.30
  4. Step 4: Simplify right side
    13,077x = 125,535,549.62
  5. Step 5: Solve for x
    x = 125,535,549.62/13,077
  6. Step 6: Final answer
    x = 9,599.72

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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.