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Finding the Fourth Proportional to 22,395.54, 30,905.17 and 12,324

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Solution

The fourth proportional to 22,395.54, 30,905.17 and 12,324 is: 17,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,395.54 : 30,905.17 = 12,324 : x
  2. Step 2: Convert to fraction form
    22,395.54/30,905.17 = 12,324/x
  3. Step 3: Cross multiply
    22,395.54x = 30,905.17 × 12,324
  4. Step 4: Simplify right side
    22,395.54x = 380,875,315.08
  5. Step 5: Solve for x
    x = 380,875,315.08/22,395.54
  6. Step 6: Final answer
    x = 17,006.75

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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.