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Finding the Fourth Proportional to 16,335.38, 22,541.60 and 9,261.65

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Solution

The fourth proportional to 16,335.38, 22,541.60 and 9,261.65 is: 12,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.38 : 22,541.60 = 9,261.65 : x
  2. Step 2: Convert to fraction form
    16,335.38/22,541.60 = 9,261.65/x
  3. Step 3: Cross multiply
    16,335.38x = 22,541.60 × 9,261.65
  4. Step 4: Simplify right side
    16,335.38x = 208,772,320.09
  5. Step 5: Solve for x
    x = 208,772,320.09/16,335.38
  6. Step 6: Final answer
    x = 12,780.38

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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.