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Finding the Fourth Proportional to 21,871.60, 32,823.60 and 16,039.60

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Solution

The fourth proportional to 21,871.60, 32,823.60 and 16,039.60 is: 24,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.60 : 32,823.60 = 16,039.60 : x
  2. Step 2: Convert to fraction form
    21,871.60/32,823.60 = 16,039.60/x
  3. Step 3: Cross multiply
    21,871.60x = 32,823.60 × 16,039.60
  4. Step 4: Simplify right side
    21,871.60x = 526,477,414.56
  5. Step 5: Solve for x
    x = 526,477,414.56/21,871.60
  6. Step 6: Final answer
    x = 24,071.28

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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.