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Finding the Fourth Proportional to 22,895.64, 31,595.00 and 12,824.10

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Solution

The fourth proportional to 22,895.64, 31,595.00 and 12,824.10 is: 17,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,895.64 : 31,595.00 = 12,824.10 : x
  2. Step 2: Convert to fraction form
    22,895.64/31,595.00 = 12,824.10/x
  3. Step 3: Cross multiply
    22,895.64x = 31,595.00 × 12,824.10
  4. Step 4: Simplify right side
    22,895.64x = 405,177,375.38
  5. Step 5: Solve for x
    x = 405,177,375.38/22,895.64
  6. Step 6: Final answer
    x = 17,696.70

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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.