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Finding the Fourth Proportional to 18,562, 25,615.62 and 10,178.56

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Solution

The fourth proportional to 18,562, 25,615.62 and 10,178.56 is: 14,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 25,615.62 = 10,178.56 : x
  2. Step 2: Convert to fraction form
    18,562/25,615.62 = 10,178.56/x
  3. Step 3: Cross multiply
    18,562x = 25,615.62 × 10,178.56
  4. Step 4: Simplify right side
    18,562x = 260,730,125.11
  5. Step 5: Solve for x
    x = 260,730,125.11/18,562
  6. Step 6: Final answer
    x = 14,046.45

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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.