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Finding the Fourth Proportional to 21,112.29, 31,672.26 and 7,070.94

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Solution

The fourth proportional to 21,112.29, 31,672.26 and 7,070.94 is: 10,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.29 : 31,672.26 = 7,070.94 : x
  2. Step 2: Convert to fraction form
    21,112.29/31,672.26 = 7,070.94/x
  3. Step 3: Cross multiply
    21,112.29x = 31,672.26 × 7,070.94
  4. Step 4: Simplify right side
    21,112.29x = 223,952,650.12
  5. Step 5: Solve for x
    x = 223,952,650.12/21,112.29
  6. Step 6: Final answer
    x = 10,607.69

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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.