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Finding the Fourth Proportional to 12,029.32, 16,603.96 and 6,995.80

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Solution

The fourth proportional to 12,029.32, 16,603.96 and 6,995.80 is: 9,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.32 : 16,603.96 = 6,995.80 : x
  2. Step 2: Convert to fraction form
    12,029.32/16,603.96 = 6,995.80/x
  3. Step 3: Cross multiply
    12,029.32x = 16,603.96 × 6,995.80
  4. Step 4: Simplify right side
    12,029.32x = 116,157,983.37
  5. Step 5: Solve for x
    x = 116,157,983.37/12,029.32
  6. Step 6: Final answer
    x = 9,656.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.