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Finding the Fourth Proportional to 21,652.32, 29,878.56 and 12,221.76

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Solution

The fourth proportional to 21,652.32, 29,878.56 and 12,221.76 is: 16,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.32 : 29,878.56 = 12,221.76 : x
  2. Step 2: Convert to fraction form
    21,652.32/29,878.56 = 12,221.76/x
  3. Step 3: Cross multiply
    21,652.32x = 29,878.56 × 12,221.76
  4. Step 4: Simplify right side
    21,652.32x = 365,168,589.47
  5. Step 5: Solve for x
    x = 365,168,589.47/21,652.32
  6. Step 6: Final answer
    x = 16,865.10

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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.