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Finding the Fourth Proportional to 16,137.63, 22,272.01 and 9,064.05

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Solution

The fourth proportional to 16,137.63, 22,272.01 and 9,064.05 is: 12,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.63 : 22,272.01 = 9,064.05 : x
  2. Step 2: Convert to fraction form
    16,137.63/22,272.01 = 9,064.05/x
  3. Step 3: Cross multiply
    16,137.63x = 22,272.01 × 9,064.05
  4. Step 4: Simplify right side
    16,137.63x = 201,874,506.06
  5. Step 5: Solve for x
    x = 201,874,506.06/16,137.63
  6. Step 6: Final answer
    x = 12,509.55

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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.