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Finding the Fourth Proportional to 16,435.71, 24,675.44 and 8,649.99

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Solution

The fourth proportional to 16,435.71, 24,675.44 and 8,649.99 is: 12,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.71 : 24,675.44 = 8,649.99 : x
  2. Step 2: Convert to fraction form
    16,435.71/24,675.44 = 8,649.99/x
  3. Step 3: Cross multiply
    16,435.71x = 24,675.44 × 8,649.99
  4. Step 4: Simplify right side
    16,435.71x = 213,442,266.00
  5. Step 5: Solve for x
    x = 213,442,266.00/16,435.71
  6. Step 6: Final answer
    x = 12,986.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.