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Finding the Fourth Proportional to 24,529.80, 33,852 and 14,466.90

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Solution

The fourth proportional to 24,529.80, 33,852 and 14,466.90 is: 19,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.80 : 33,852 = 14,466.90 : x
  2. Step 2: Convert to fraction form
    24,529.80/33,852 = 14,466.90/x
  3. Step 3: Cross multiply
    24,529.80x = 33,852 × 14,466.90
  4. Step 4: Simplify right side
    24,529.80x = 489,733,498.80
  5. Step 5: Solve for x
    x = 489,733,498.80/24,529.80
  6. Step 6: Final answer
    x = 19,964.84

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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.