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Finding the Fourth Proportional to 21,774.54, 30,049.02 and 12,343.08

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Solution

The fourth proportional to 21,774.54, 30,049.02 and 12,343.08 is: 17,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.54 : 30,049.02 = 12,343.08 : x
  2. Step 2: Convert to fraction form
    21,774.54/30,049.02 = 12,343.08/x
  3. Step 3: Cross multiply
    21,774.54x = 30,049.02 × 12,343.08
  4. Step 4: Simplify right side
    21,774.54x = 370,897,457.78
  5. Step 5: Solve for x
    x = 370,897,457.78/21,774.54
  6. Step 6: Final answer
    x = 17,033.54

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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.