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Finding the Fourth Proportional to 21,706.10, 29,952.82 and 12,144.72

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Solution

The fourth proportional to 21,706.10, 29,952.82 and 12,144.72 is: 16,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.10 : 29,952.82 = 12,144.72 : x
  2. Step 2: Convert to fraction form
    21,706.10/29,952.82 = 12,144.72/x
  3. Step 3: Cross multiply
    21,706.10x = 29,952.82 × 12,144.72
  4. Step 4: Simplify right side
    21,706.10x = 363,768,612.11
  5. Step 5: Solve for x
    x = 363,768,612.11/21,706.10
  6. Step 6: Final answer
    x = 16,758.82

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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.