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Finding the Fourth Proportional to 25,641.60, 38,397.60 and 16,828.80

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Solution

The fourth proportional to 25,641.60, 38,397.60 and 16,828.80 is: 25,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.60 : 38,397.60 = 16,828.80 : x
  2. Step 2: Convert to fraction form
    25,641.60/38,397.60 = 16,828.80/x
  3. Step 3: Cross multiply
    25,641.60x = 38,397.60 × 16,828.80
  4. Step 4: Simplify right side
    25,641.60x = 646,185,530.88
  5. Step 5: Solve for x
    x = 646,185,530.88/25,641.60
  6. Step 6: Final answer
    x = 25,200.67

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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.