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Finding the Fourth Proportional to 29,710.64, 41,001.64 and 16,282.72

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Solution

The fourth proportional to 29,710.64, 41,001.64 and 16,282.72 is: 22,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.64 : 41,001.64 = 16,282.72 : x
  2. Step 2: Convert to fraction form
    29,710.64/41,001.64 = 16,282.72/x
  3. Step 3: Cross multiply
    29,710.64x = 41,001.64 × 16,282.72
  4. Step 4: Simplify right side
    29,710.64x = 667,618,003.57
  5. Step 5: Solve for x
    x = 667,618,003.57/29,710.64
  6. Step 6: Final answer
    x = 22,470.67

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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.