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Finding the Fourth Proportional to 21,317.99, 31,968.07 and 10,222.07

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Solution

The fourth proportional to 21,317.99, 31,968.07 and 10,222.07 is: 15,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317.99 : 31,968.07 = 10,222.07 : x
  2. Step 2: Convert to fraction form
    21,317.99/31,968.07 = 10,222.07/x
  3. Step 3: Cross multiply
    21,317.99x = 31,968.07 × 10,222.07
  4. Step 4: Simplify right side
    21,317.99x = 326,779,663.91
  5. Step 5: Solve for x
    x = 326,779,663.91/21,317.99
  6. Step 6: Final answer
    x = 15,328.83

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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.