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Finding the Fourth Proportional to 31,421.84, 43,360.04 and 17,274

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Solution

The fourth proportional to 31,421.84, 43,360.04 and 17,274 is: 23,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.84 : 43,360.04 = 17,274 : x
  2. Step 2: Convert to fraction form
    31,421.84/43,360.04 = 17,274/x
  3. Step 3: Cross multiply
    31,421.84x = 43,360.04 × 17,274
  4. Step 4: Simplify right side
    31,421.84x = 749,001,330.96
  5. Step 5: Solve for x
    x = 749,001,330.96/31,421.84
  6. Step 6: Final answer
    x = 23,836.97

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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.