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Finding the Fourth Proportional to 12,708.86, 19,051.91 and 6,465.38

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Solution

The fourth proportional to 12,708.86, 19,051.91 and 6,465.38 is: 9,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.86 : 19,051.91 = 6,465.38 : x
  2. Step 2: Convert to fraction form
    12,708.86/19,051.91 = 6,465.38/x
  3. Step 3: Cross multiply
    12,708.86x = 19,051.91 × 6,465.38
  4. Step 4: Simplify right side
    12,708.86x = 123,177,837.88
  5. Step 5: Solve for x
    x = 123,177,837.88/12,708.86
  6. Step 6: Final answer
    x = 9,692.28

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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.