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Finding the Fourth Proportional to 16,176.38, 22,322.99 and 9,006.32

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Solution

The fourth proportional to 16,176.38, 22,322.99 and 9,006.32 is: 12,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.38 : 22,322.99 = 9,006.32 : x
  2. Step 2: Convert to fraction form
    16,176.38/22,322.99 = 9,006.32/x
  3. Step 3: Cross multiply
    16,176.38x = 22,322.99 × 9,006.32
  4. Step 4: Simplify right side
    16,176.38x = 201,048,069.62
  5. Step 5: Solve for x
    x = 201,048,069.62/16,176.38
  6. Step 6: Final answer
    x = 12,428.50

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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.