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Finding the Fourth Proportional to 24,820.80, 34,215.84 and 16,422.72

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Solution

The fourth proportional to 24,820.80, 34,215.84 and 16,422.72 is: 22,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.80 : 34,215.84 = 16,422.72 : x
  2. Step 2: Convert to fraction form
    24,820.80/34,215.84 = 16,422.72/x
  3. Step 3: Cross multiply
    24,820.80x = 34,215.84 × 16,422.72
  4. Step 4: Simplify right side
    24,820.80x = 561,917,159.88
  5. Step 5: Solve for x
    x = 561,917,159.88/24,820.80
  6. Step 6: Final answer
    x = 22,638.96

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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.