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Finding the Fourth Proportional to 16,383.63, 24,582.33 and 7,025.70

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Solution

The fourth proportional to 16,383.63, 24,582.33 and 7,025.70 is: 10,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.63 : 24,582.33 = 7,025.70 : x
  2. Step 2: Convert to fraction form
    16,383.63/24,582.33 = 7,025.70/x
  3. Step 3: Cross multiply
    16,383.63x = 24,582.33 × 7,025.70
  4. Step 4: Simplify right side
    16,383.63x = 172,708,075.88
  5. Step 5: Solve for x
    x = 172,708,075.88/16,383.63
  6. Step 6: Final answer
    x = 10,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.