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Finding the Fourth Proportional to 15,043.05, 22,551.82 and 8,471.12

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Solution

The fourth proportional to 15,043.05, 22,551.82 and 8,471.12 is: 12,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,043.05 : 22,551.82 = 8,471.12 : x
  2. Step 2: Convert to fraction form
    15,043.05/22,551.82 = 8,471.12/x
  3. Step 3: Cross multiply
    15,043.05x = 22,551.82 × 8,471.12
  4. Step 4: Simplify right side
    15,043.05x = 191,039,039.50
  5. Step 5: Solve for x
    x = 191,039,039.50/15,043.05
  6. Step 6: Final answer
    x = 12,699.49

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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.