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Finding the Fourth Proportional to 21,824.31, 32,750.82 and 11,970.50

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Solution

The fourth proportional to 21,824.31, 32,750.82 and 11,970.50 is: 17,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.31 : 32,750.82 = 11,970.50 : x
  2. Step 2: Convert to fraction form
    21,824.31/32,750.82 = 11,970.50/x
  3. Step 3: Cross multiply
    21,824.31x = 32,750.82 × 11,970.50
  4. Step 4: Simplify right side
    21,824.31x = 392,043,690.81
  5. Step 5: Solve for x
    x = 392,043,690.81/21,824.31
  6. Step 6: Final answer
    x = 17,963.62

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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.