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Finding the Fourth Proportional to 16,615.50, 24,935.04 and 9,225.84

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Solution

The fourth proportional to 16,615.50, 24,935.04 and 9,225.84 is: 13,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615.50 : 24,935.04 = 9,225.84 : x
  2. Step 2: Convert to fraction form
    16,615.50/24,935.04 = 9,225.84/x
  3. Step 3: Cross multiply
    16,615.50x = 24,935.04 × 9,225.84
  4. Step 4: Simplify right side
    16,615.50x = 230,046,689.43
  5. Step 5: Solve for x
    x = 230,046,689.43/16,615.50
  6. Step 6: Final answer
    x = 13,845.31

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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.