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Finding the Fourth Proportional to 18,276, 27,414.14 and 4,425

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Solution

The fourth proportional to 18,276, 27,414.14 and 4,425 is: 6,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276 : 27,414.14 = 4,425 : x
  2. Step 2: Convert to fraction form
    18,276/27,414.14 = 4,425/x
  3. Step 3: Cross multiply
    18,276x = 27,414.14 × 4,425
  4. Step 4: Simplify right side
    18,276x = 121,307,547.38
  5. Step 5: Solve for x
    x = 121,307,547.38/18,276
  6. Step 6: Final answer
    x = 6,637.53

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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.