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Finding the Fourth Proportional to 18,636, 25,717.68 and 10,252.32

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Solution

The fourth proportional to 18,636, 25,717.68 and 10,252.32 is: 14,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,636 : 25,717.68 = 10,252.32 : x
  2. Step 2: Convert to fraction form
    18,636/25,717.68 = 10,252.32/x
  3. Step 3: Cross multiply
    18,636x = 25,717.68 × 10,252.32
  4. Step 4: Simplify right side
    18,636x = 263,665,885.02
  5. Step 5: Solve for x
    x = 263,665,885.02/18,636
  6. Step 6: Final answer
    x = 14,148.20

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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.