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Finding the Fourth Proportional to 21,307.49, 31,958.27 and 11,307.86

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Solution

The fourth proportional to 21,307.49, 31,958.27 and 11,307.86 is: 16,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.49 : 31,958.27 = 11,307.86 : x
  2. Step 2: Convert to fraction form
    21,307.49/31,958.27 = 11,307.86/x
  3. Step 3: Cross multiply
    21,307.49x = 31,958.27 × 11,307.86
  4. Step 4: Simplify right side
    21,307.49x = 361,379,643.00
  5. Step 5: Solve for x
    x = 361,379,643.00/21,307.49
  6. Step 6: Final answer
    x = 16,960.22

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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.