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Finding the Fourth Proportional to 16,643.71, 24,952.32 and 9,615.73

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Solution

The fourth proportional to 16,643.71, 24,952.32 and 9,615.73 is: 14,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.71 : 24,952.32 = 9,615.73 : x
  2. Step 2: Convert to fraction form
    16,643.71/24,952.32 = 9,615.73/x
  3. Step 3: Cross multiply
    16,643.71x = 24,952.32 × 9,615.73
  4. Step 4: Simplify right side
    16,643.71x = 239,934,771.99
  5. Step 5: Solve for x
    x = 239,934,771.99/16,643.71
  6. Step 6: Final answer
    x = 14,415.94

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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.