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Finding the Fourth Proportional to 13,006.38, 19,485.08 and 6,424.86

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Solution

The fourth proportional to 13,006.38, 19,485.08 and 6,424.86 is: 9,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.38 : 19,485.08 = 6,424.86 : x
  2. Step 2: Convert to fraction form
    13,006.38/19,485.08 = 6,424.86/x
  3. Step 3: Cross multiply
    13,006.38x = 19,485.08 × 6,424.86
  4. Step 4: Simplify right side
    13,006.38x = 125,188,911.09
  5. Step 5: Solve for x
    x = 125,188,911.09/13,006.38
  6. Step 6: Final answer
    x = 9,625.19

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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.