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Finding the Fourth Proportional to 21,524.65, 29,701.98 and 11,963.40

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Solution

The fourth proportional to 21,524.65, 29,701.98 and 11,963.40 is: 16,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.65 : 29,701.98 = 11,963.40 : x
  2. Step 2: Convert to fraction form
    21,524.65/29,701.98 = 11,963.40/x
  3. Step 3: Cross multiply
    21,524.65x = 29,701.98 × 11,963.40
  4. Step 4: Simplify right side
    21,524.65x = 355,336,746.21
  5. Step 5: Solve for x
    x = 355,336,746.21/21,524.65
  6. Step 6: Final answer
    x = 16,508.36

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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.