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Finding the Fourth Proportional to 21,905.60, 32,896.80 and 21,214.40

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Solution

The fourth proportional to 21,905.60, 32,896.80 and 21,214.40 is: 31,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.60 : 32,896.80 = 21,214.40 : x
  2. Step 2: Convert to fraction form
    21,905.60/32,896.80 = 21,214.40/x
  3. Step 3: Cross multiply
    21,905.60x = 32,896.80 × 21,214.40
  4. Step 4: Simplify right side
    21,905.60x = 697,885,873.92
  5. Step 5: Solve for x
    x = 697,885,873.92/21,905.60
  6. Step 6: Final answer
    x = 31,858.79

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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.