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Finding the Fourth Proportional to 23,090.99, 31,818.48 and 15,923.09

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Solution

The fourth proportional to 23,090.99, 31,818.48 and 15,923.09 is: 21,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.99 : 31,818.48 = 15,923.09 : x
  2. Step 2: Convert to fraction form
    23,090.99/31,818.48 = 15,923.09/x
  3. Step 3: Cross multiply
    23,090.99x = 31,818.48 × 15,923.09
  4. Step 4: Simplify right side
    23,090.99x = 506,648,361.61
  5. Step 5: Solve for x
    x = 506,648,361.61/23,090.99
  6. Step 6: Final answer
    x = 21,941.39

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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.