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Finding the Fourth Proportional to 22,096.04, 30,492.24 and 12,024.38

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Solution

The fourth proportional to 22,096.04, 30,492.24 and 12,024.38 is: 16,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.04 : 30,492.24 = 12,024.38 : x
  2. Step 2: Convert to fraction form
    22,096.04/30,492.24 = 12,024.38/x
  3. Step 3: Cross multiply
    22,096.04x = 30,492.24 × 12,024.38
  4. Step 4: Simplify right side
    22,096.04x = 366,650,280.81
  5. Step 5: Solve for x
    x = 366,650,280.81/22,096.04
  6. Step 6: Final answer
    x = 16,593.48

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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.