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Finding the Fourth Proportional to 21,661.60, 32,455.42 and 11,783.24

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Solution

The fourth proportional to 21,661.60, 32,455.42 and 11,783.24 is: 17,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.60 : 32,455.42 = 11,783.24 : x
  2. Step 2: Convert to fraction form
    21,661.60/32,455.42 = 11,783.24/x
  3. Step 3: Cross multiply
    21,661.60x = 32,455.42 × 11,783.24
  4. Step 4: Simplify right side
    21,661.60x = 382,430,003.16
  5. Step 5: Solve for x
    x = 382,430,003.16/21,661.60
  6. Step 6: Final answer
    x = 17,654.74

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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.