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Finding the Fourth Proportional to 14,204.38, 19,602.13 and 7,917.16

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Solution

The fourth proportional to 14,204.38, 19,602.13 and 7,917.16 is: 10,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.38 : 19,602.13 = 7,917.16 : x
  2. Step 2: Convert to fraction form
    14,204.38/19,602.13 = 7,917.16/x
  3. Step 3: Cross multiply
    14,204.38x = 19,602.13 × 7,917.16
  4. Step 4: Simplify right side
    14,204.38x = 155,193,101.54
  5. Step 5: Solve for x
    x = 155,193,101.54/14,204.38
  6. Step 6: Final answer
    x = 10,925.73

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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.