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Finding the Fourth Proportional to 21,649.16, 29,872.64 and 13,146.86

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Solution

The fourth proportional to 21,649.16, 29,872.64 and 13,146.86 is: 18,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.16 : 29,872.64 = 13,146.86 : x
  2. Step 2: Convert to fraction form
    21,649.16/29,872.64 = 13,146.86/x
  3. Step 3: Cross multiply
    21,649.16x = 29,872.64 × 13,146.86
  4. Step 4: Simplify right side
    21,649.16x = 392,731,383.04
  5. Step 5: Solve for x
    x = 392,731,383.04/21,649.16
  6. Step 6: Final answer
    x = 18,140.72

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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.