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Finding the Fourth Proportional to 20,130.64, 30,012.20 and 19,619.12

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Solution

The fourth proportional to 20,130.64, 30,012.20 and 19,619.12 is: 29,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.64 : 30,012.20 = 19,619.12 : x
  2. Step 2: Convert to fraction form
    20,130.64/30,012.20 = 19,619.12/x
  3. Step 3: Cross multiply
    20,130.64x = 30,012.20 × 19,619.12
  4. Step 4: Simplify right side
    20,130.64x = 588,812,953.26
  5. Step 5: Solve for x
    x = 588,812,953.26/20,130.64
  6. Step 6: Final answer
    x = 29,249.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.