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Finding the Fourth Proportional to 16,359, 22,575.60 and 8,907

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Solution

The fourth proportional to 16,359, 22,575.60 and 8,907 is: 12,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359 : 22,575.60 = 8,907 : x
  2. Step 2: Convert to fraction form
    16,359/22,575.60 = 8,907/x
  3. Step 3: Cross multiply
    16,359x = 22,575.60 × 8,907
  4. Step 4: Simplify right side
    16,359x = 201,080,869.20
  5. Step 5: Solve for x
    x = 201,080,869.20/16,359
  6. Step 6: Final answer
    x = 12,291.76

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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.