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Finding the Fourth Proportional to 21,702.24, 29,948.64 and 11,766.24

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Solution

The fourth proportional to 21,702.24, 29,948.64 and 11,766.24 is: 16,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.24 : 29,948.64 = 11,766.24 : x
  2. Step 2: Convert to fraction form
    21,702.24/29,948.64 = 11,766.24/x
  3. Step 3: Cross multiply
    21,702.24x = 29,948.64 × 11,766.24
  4. Step 4: Simplify right side
    21,702.24x = 352,382,885.91
  5. Step 5: Solve for x
    x = 352,382,885.91/21,702.24
  6. Step 6: Final answer
    x = 16,237.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.