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Finding the Fourth Proportional to 12,341.90, 18,474.55 and 9,982.14

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Solution

The fourth proportional to 12,341.90, 18,474.55 and 9,982.14 is: 14,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.90 : 18,474.55 = 9,982.14 : x
  2. Step 2: Convert to fraction form
    12,341.90/18,474.55 = 9,982.14/x
  3. Step 3: Cross multiply
    12,341.90x = 18,474.55 × 9,982.14
  4. Step 4: Simplify right side
    12,341.90x = 184,415,519.58
  5. Step 5: Solve for x
    x = 184,415,519.58/12,341.90
  6. Step 6: Final answer
    x = 14,942.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.