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Finding the Fourth Proportional to 25,175.20, 37,719.60 and 16,405.60

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Solution

The fourth proportional to 25,175.20, 37,719.60 and 16,405.60 is: 24,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.20 : 37,719.60 = 16,405.60 : x
  2. Step 2: Convert to fraction form
    25,175.20/37,719.60 = 16,405.60/x
  3. Step 3: Cross multiply
    25,175.20x = 37,719.60 × 16,405.60
  4. Step 4: Simplify right side
    25,175.20x = 618,812,669.76
  5. Step 5: Solve for x
    x = 618,812,669.76/25,175.20
  6. Step 6: Final answer
    x = 24,580.25

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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.