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Finding the Fourth Proportional to 18,078.40, 24,950.82 and 10,420.20

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Solution

The fourth proportional to 18,078.40, 24,950.82 and 10,420.20 is: 14,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.40 : 24,950.82 = 10,420.20 : x
  2. Step 2: Convert to fraction form
    18,078.40/24,950.82 = 10,420.20/x
  3. Step 3: Cross multiply
    18,078.40x = 24,950.82 × 10,420.20
  4. Step 4: Simplify right side
    18,078.40x = 259,992,534.56
  5. Step 5: Solve for x
    x = 259,992,534.56/18,078.40
  6. Step 6: Final answer
    x = 14,381.39

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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.