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Finding the Fourth Proportional to 18,637.14, 25,712.94 and 12,658.38

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Solution

The fourth proportional to 18,637.14, 25,712.94 and 12,658.38 is: 17,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,637.14 : 25,712.94 = 12,658.38 : x
  2. Step 2: Convert to fraction form
    18,637.14/25,712.94 = 12,658.38/x
  3. Step 3: Cross multiply
    18,637.14x = 25,712.94 × 12,658.38
  4. Step 4: Simplify right side
    18,637.14x = 325,484,165.44
  5. Step 5: Solve for x
    x = 325,484,165.44/18,637.14
  6. Step 6: Final answer
    x = 17,464.28

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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.