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Finding the Fourth Proportional to 16,523.90, 24,785.90 and 11,615.50

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Solution

The fourth proportional to 16,523.90, 24,785.90 and 11,615.50 is: 17,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.90 : 24,785.90 = 11,615.50 : x
  2. Step 2: Convert to fraction form
    16,523.90/24,785.90 = 11,615.50/x
  3. Step 3: Cross multiply
    16,523.90x = 24,785.90 × 11,615.50
  4. Step 4: Simplify right side
    16,523.90x = 287,900,621.45
  5. Step 5: Solve for x
    x = 287,900,621.45/16,523.90
  6. Step 6: Final answer
    x = 17,423.29

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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.