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Finding the Fourth Proportional to 21,909.60, 32,783.40 and 16,077.60

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Solution

The fourth proportional to 21,909.60, 32,783.40 and 16,077.60 is: 24,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.60 : 32,783.40 = 16,077.60 : x
  2. Step 2: Convert to fraction form
    21,909.60/32,783.40 = 16,077.60/x
  3. Step 3: Cross multiply
    21,909.60x = 32,783.40 × 16,077.60
  4. Step 4: Simplify right side
    21,909.60x = 527,078,391.84
  5. Step 5: Solve for x
    x = 527,078,391.84/21,909.60
  6. Step 6: Final answer
    x = 24,056.96

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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.