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Finding the Fourth Proportional to 12,032.14, 18,004.46 and 9,932.62

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Solution

The fourth proportional to 12,032.14, 18,004.46 and 9,932.62 is: 14,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.14 : 18,004.46 = 9,932.62 : x
  2. Step 2: Convert to fraction form
    12,032.14/18,004.46 = 9,932.62/x
  3. Step 3: Cross multiply
    12,032.14x = 18,004.46 × 9,932.62
  4. Step 4: Simplify right side
    12,032.14x = 178,831,459.49
  5. Step 5: Solve for x
    x = 178,831,459.49/12,032.14
  6. Step 6: Final answer
    x = 14,862.81

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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.