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Finding the Fourth Proportional to 18,402, 25,394.78 and 10,018.52

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Solution

The fourth proportional to 18,402, 25,394.78 and 10,018.52 is: 13,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 25,394.78 = 10,018.52 : x
  2. Step 2: Convert to fraction form
    18,402/25,394.78 = 10,018.52/x
  3. Step 3: Cross multiply
    18,402x = 25,394.78 × 10,018.52
  4. Step 4: Simplify right side
    18,402x = 254,418,111.33
  5. Step 5: Solve for x
    x = 254,418,111.33/18,402
  6. Step 6: Final answer
    x = 13,825.57

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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.