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Finding the Fourth Proportional to 12,032.64, 18,005.22 and 9,933.12

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Solution

The fourth proportional to 12,032.64, 18,005.22 and 9,933.12 is: 14,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.64 : 18,005.22 = 9,933.12 : x
  2. Step 2: Convert to fraction form
    12,032.64/18,005.22 = 9,933.12/x
  3. Step 3: Cross multiply
    12,032.64x = 18,005.22 × 9,933.12
  4. Step 4: Simplify right side
    12,032.64x = 178,848,010.89
  5. Step 5: Solve for x
    x = 178,848,010.89/12,032.64
  6. Step 6: Final answer
    x = 14,863.57

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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.