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Finding the Fourth Proportional to 25,470.80, 38,214.32 and 16,168.80

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Solution

The fourth proportional to 25,470.80, 38,214.32 and 16,168.80 is: 24,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.80 : 38,214.32 = 16,168.80 : x
  2. Step 2: Convert to fraction form
    25,470.80/38,214.32 = 16,168.80/x
  3. Step 3: Cross multiply
    25,470.80x = 38,214.32 × 16,168.80
  4. Step 4: Simplify right side
    25,470.80x = 617,879,697.22
  5. Step 5: Solve for x
    x = 617,879,697.22/25,470.80
  6. Step 6: Final answer
    x = 24,258.35

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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.