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Finding the Fourth Proportional to 24,532.37, 33,852.74 and 13,922.00

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Solution

The fourth proportional to 24,532.37, 33,852.74 and 13,922.00 is: 19,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.37 : 33,852.74 = 13,922.00 : x
  2. Step 2: Convert to fraction form
    24,532.37/33,852.74 = 13,922.00/x
  3. Step 3: Cross multiply
    24,532.37x = 33,852.74 × 13,922.00
  4. Step 4: Simplify right side
    24,532.37x = 471,297,607.41
  5. Step 5: Solve for x
    x = 471,297,607.41/24,532.37
  6. Step 6: Final answer
    x = 19,211.26

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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.