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Finding the Fourth Proportional to 21,211.50, 29,271.88 and 11,780.14

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Solution

The fourth proportional to 21,211.50, 29,271.88 and 11,780.14 is: 16,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.50 : 29,271.88 = 11,780.14 : x
  2. Step 2: Convert to fraction form
    21,211.50/29,271.88 = 11,780.14/x
  3. Step 3: Cross multiply
    21,211.50x = 29,271.88 × 11,780.14
  4. Step 4: Simplify right side
    21,211.50x = 344,826,844.46
  5. Step 5: Solve for x
    x = 344,826,844.46/21,211.50
  6. Step 6: Final answer
    x = 16,256.60

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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.