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Finding the Fourth Proportional to 16,344.53, 22,528.50 and 11,558.30

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Solution

The fourth proportional to 16,344.53, 22,528.50 and 11,558.30 is: 15,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.53 : 22,528.50 = 11,558.30 : x
  2. Step 2: Convert to fraction form
    16,344.53/22,528.50 = 11,558.30/x
  3. Step 3: Cross multiply
    16,344.53x = 22,528.50 × 11,558.30
  4. Step 4: Simplify right side
    16,344.53x = 260,391,103.09
  5. Step 5: Solve for x
    x = 260,391,103.09/16,344.53
  6. Step 6: Final answer
    x = 15,931.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.