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Finding the Fourth Proportional to 21,646.32, 29,869.20 and 12,213.24

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Solution

The fourth proportional to 21,646.32, 29,869.20 and 12,213.24 is: 16,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.32 : 29,869.20 = 12,213.24 : x
  2. Step 2: Convert to fraction form
    21,646.32/29,869.20 = 12,213.24/x
  3. Step 3: Cross multiply
    21,646.32x = 29,869.20 × 12,213.24
  4. Step 4: Simplify right side
    21,646.32x = 364,799,708.21
  5. Step 5: Solve for x
    x = 364,799,708.21/21,646.32
  6. Step 6: Final answer
    x = 16,852.74

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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.