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Finding the Fourth Proportional to 16,430.76, 22,674.46 and 8,877.09

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Solution

The fourth proportional to 16,430.76, 22,674.46 and 8,877.09 is: 12,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.76 : 22,674.46 = 8,877.09 : x
  2. Step 2: Convert to fraction form
    16,430.76/22,674.46 = 8,877.09/x
  3. Step 3: Cross multiply
    16,430.76x = 22,674.46 × 8,877.09
  4. Step 4: Simplify right side
    16,430.76x = 201,283,233.22
  5. Step 5: Solve for x
    x = 201,283,233.22/16,430.76
  6. Step 6: Final answer
    x = 12,250.39

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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.