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Finding the Fourth Proportional to 21,485.38, 29,650.02 and 12,054.14

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Solution

The fourth proportional to 21,485.38, 29,650.02 and 12,054.14 is: 16,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.38 : 29,650.02 = 12,054.14 : x
  2. Step 2: Convert to fraction form
    21,485.38/29,650.02 = 12,054.14/x
  3. Step 3: Cross multiply
    21,485.38x = 29,650.02 × 12,054.14
  4. Step 4: Simplify right side
    21,485.38x = 357,405,492.08
  5. Step 5: Solve for x
    x = 357,405,492.08/21,485.38
  6. Step 6: Final answer
    x = 16,634.82

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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.