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Finding the Fourth Proportional to 16,133.50, 24,148.43 and 8,618.27

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Solution

The fourth proportional to 16,133.50, 24,148.43 and 8,618.27 is: 12,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.50 : 24,148.43 = 8,618.27 : x
  2. Step 2: Convert to fraction form
    16,133.50/24,148.43 = 8,618.27/x
  3. Step 3: Cross multiply
    16,133.50x = 24,148.43 × 8,618.27
  4. Step 4: Simplify right side
    16,133.50x = 208,117,689.82
  5. Step 5: Solve for x
    x = 208,117,689.82/16,133.50
  6. Step 6: Final answer
    x = 12,899.72

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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.