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Finding the Fourth Proportional to 21,010.26, 31,519.13 and 6,971.13

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Solution

The fourth proportional to 21,010.26, 31,519.13 and 6,971.13 is: 10,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.26 : 31,519.13 = 6,971.13 : x
  2. Step 2: Convert to fraction form
    21,010.26/31,519.13 = 6,971.13/x
  3. Step 3: Cross multiply
    21,010.26x = 31,519.13 × 6,971.13
  4. Step 4: Simplify right side
    21,010.26x = 219,723,870.48
  5. Step 5: Solve for x
    x = 219,723,870.48/21,010.26
  6. Step 6: Final answer
    x = 10,457.93

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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.