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Finding the Fourth Proportional to 16,237.80, 24,359.13 and 6,877.80

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Solution

The fourth proportional to 16,237.80, 24,359.13 and 6,877.80 is: 10,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.80 : 24,359.13 = 6,877.80 : x
  2. Step 2: Convert to fraction form
    16,237.80/24,359.13 = 6,877.80/x
  3. Step 3: Cross multiply
    16,237.80x = 24,359.13 × 6,877.80
  4. Step 4: Simplify right side
    16,237.80x = 167,537,224.31
  5. Step 5: Solve for x
    x = 167,537,224.31/16,237.80
  6. Step 6: Final answer
    x = 10,317.73

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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.