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Finding the Fourth Proportional to 18,084, 24,953.64 and 10,532.40

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Solution

The fourth proportional to 18,084, 24,953.64 and 10,532.40 is: 14,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084 : 24,953.64 = 10,532.40 : x
  2. Step 2: Convert to fraction form
    18,084/24,953.64 = 10,532.40/x
  3. Step 3: Cross multiply
    18,084x = 24,953.64 × 10,532.40
  4. Step 4: Simplify right side
    18,084x = 262,821,717.94
  5. Step 5: Solve for x
    x = 262,821,717.94/18,084
  6. Step 6: Final answer
    x = 14,533.38

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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.