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Finding the Fourth Proportional to 23,045.42, 31,793.01 and 14,090.06

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Solution

The fourth proportional to 23,045.42, 31,793.01 and 14,090.06 is: 19,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.42 : 31,793.01 = 14,090.06 : x
  2. Step 2: Convert to fraction form
    23,045.42/31,793.01 = 14,090.06/x
  3. Step 3: Cross multiply
    23,045.42x = 31,793.01 × 14,090.06
  4. Step 4: Simplify right side
    23,045.42x = 447,965,259.52
  5. Step 5: Solve for x
    x = 447,965,259.52/23,045.42
  6. Step 6: Final answer
    x = 19,438.37

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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.