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Finding the Fourth Proportional to 21,156.58, 31,735.10 and 10,064.40

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Solution

The fourth proportional to 21,156.58, 31,735.10 and 10,064.40 is: 15,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.58 : 31,735.10 = 10,064.40 : x
  2. Step 2: Convert to fraction form
    21,156.58/31,735.10 = 10,064.40/x
  3. Step 3: Cross multiply
    21,156.58x = 31,735.10 × 10,064.40
  4. Step 4: Simplify right side
    21,156.58x = 319,394,740.44
  5. Step 5: Solve for x
    x = 319,394,740.44/21,156.58
  6. Step 6: Final answer
    x = 15,096.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.