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Finding the Fourth Proportional to 21,182.16, 29,234.88 and 11,753.76

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Solution

The fourth proportional to 21,182.16, 29,234.88 and 11,753.76 is: 16,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.16 : 29,234.88 = 11,753.76 : x
  2. Step 2: Convert to fraction form
    21,182.16/29,234.88 = 11,753.76/x
  3. Step 3: Cross multiply
    21,182.16x = 29,234.88 × 11,753.76
  4. Step 4: Simplify right side
    21,182.16x = 343,619,763.15
  5. Step 5: Solve for x
    x = 343,619,763.15/21,182.16
  6. Step 6: Final answer
    x = 16,222.13

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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.