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Finding the Fourth Proportional to 21,302.22, 31,952.15 and 6,511.13

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Solution

The fourth proportional to 21,302.22, 31,952.15 and 6,511.13 is: 9,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.22 : 31,952.15 = 6,511.13 : x
  2. Step 2: Convert to fraction form
    21,302.22/31,952.15 = 6,511.13/x
  3. Step 3: Cross multiply
    21,302.22x = 31,952.15 × 6,511.13
  4. Step 4: Simplify right side
    21,302.22x = 208,044,442.67
  5. Step 5: Solve for x
    x = 208,044,442.67/21,302.22
  6. Step 6: Final answer
    x = 9,766.33

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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.