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Finding the Fourth Proportional to 21,361.62, 32,039.88 and 5,780.46

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Solution

The fourth proportional to 21,361.62, 32,039.88 and 5,780.46 is: 8,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.62 : 32,039.88 = 5,780.46 : x
  2. Step 2: Convert to fraction form
    21,361.62/32,039.88 = 5,780.46/x
  3. Step 3: Cross multiply
    21,361.62x = 32,039.88 × 5,780.46
  4. Step 4: Simplify right side
    21,361.62x = 185,205,244.74
  5. Step 5: Solve for x
    x = 185,205,244.74/21,361.62
  6. Step 6: Final answer
    x = 8,670.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.