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Finding the Fourth Proportional to 23,011.80, 31,776.21 and 21,830.82

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Solution

The fourth proportional to 23,011.80, 31,776.21 and 21,830.82 is: 30,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.80 : 31,776.21 = 21,830.82 : x
  2. Step 2: Convert to fraction form
    23,011.80/31,776.21 = 21,830.82/x
  3. Step 3: Cross multiply
    23,011.80x = 31,776.21 × 21,830.82
  4. Step 4: Simplify right side
    23,011.80x = 693,700,720.79
  5. Step 5: Solve for x
    x = 693,700,720.79/23,011.80
  6. Step 6: Final answer
    x = 30,145.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.