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Finding the Fourth Proportional to 21,974.48, 30,325.20 and 12,038.48

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Solution

The fourth proportional to 21,974.48, 30,325.20 and 12,038.48 is: 16,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.48 : 30,325.20 = 12,038.48 : x
  2. Step 2: Convert to fraction form
    21,974.48/30,325.20 = 12,038.48/x
  3. Step 3: Cross multiply
    21,974.48x = 30,325.20 × 12,038.48
  4. Step 4: Simplify right side
    21,974.48x = 365,069,313.70
  5. Step 5: Solve for x
    x = 365,069,313.70/21,974.48
  6. Step 6: Final answer
    x = 16,613.33

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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.