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Finding the Fourth Proportional to 22,114.48, 30,516.60 and 12,178.48

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Solution

The fourth proportional to 22,114.48, 30,516.60 and 12,178.48 is: 16,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.48 : 30,516.60 = 12,178.48 : x
  2. Step 2: Convert to fraction form
    22,114.48/30,516.60 = 12,178.48/x
  3. Step 3: Cross multiply
    22,114.48x = 30,516.60 × 12,178.48
  4. Step 4: Simplify right side
    22,114.48x = 371,645,802.77
  5. Step 5: Solve for x
    x = 371,645,802.77/22,114.48
  6. Step 6: Final answer
    x = 16,805.54

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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.