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Finding the Fourth Proportional to 18,549, 25,597.92 and 10,165.50

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Solution

The fourth proportional to 18,549, 25,597.92 and 10,165.50 is: 14,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549 : 25,597.92 = 10,165.50 : x
  2. Step 2: Convert to fraction form
    18,549/25,597.92 = 10,165.50/x
  3. Step 3: Cross multiply
    18,549x = 25,597.92 × 10,165.50
  4. Step 4: Simplify right side
    18,549x = 260,215,693.88
  5. Step 5: Solve for x
    x = 260,215,693.88/18,549
  6. Step 6: Final answer
    x = 14,028.56

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1.5x scale

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.