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Finding the Fourth Proportional to 16,004.15, 24,012.45 and 6,641.80

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Solution

The fourth proportional to 16,004.15, 24,012.45 and 6,641.80 is: 9,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.15 : 24,012.45 = 6,641.80 : x
  2. Step 2: Convert to fraction form
    16,004.15/24,012.45 = 6,641.80/x
  3. Step 3: Cross multiply
    16,004.15x = 24,012.45 × 6,641.80
  4. Step 4: Simplify right side
    16,004.15x = 159,485,830.38
  5. Step 5: Solve for x
    x = 159,485,830.38/16,004.15
  6. Step 6: Final answer
    x = 9,965.28

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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.