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Finding the Fourth Proportional to 13,305.38, 19,957.94 and 5,097.38

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Solution

The fourth proportional to 13,305.38, 19,957.94 and 5,097.38 is: 7,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.38 : 19,957.94 = 5,097.38 : x
  2. Step 2: Convert to fraction form
    13,305.38/19,957.94 = 5,097.38/x
  3. Step 3: Cross multiply
    13,305.38x = 19,957.94 × 5,097.38
  4. Step 4: Simplify right side
    13,305.38x = 101,733,204.20
  5. Step 5: Solve for x
    x = 101,733,204.20/13,305.38
  6. Step 6: Final answer
    x = 7,646.02

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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.