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Finding the Fourth Proportional to 25,824.40, 38,767.80 and 16,464.40

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Solution

The fourth proportional to 25,824.40, 38,767.80 and 16,464.40 is: 24,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.40 : 38,767.80 = 16,464.40 : x
  2. Step 2: Convert to fraction form
    25,824.40/38,767.80 = 16,464.40/x
  3. Step 3: Cross multiply
    25,824.40x = 38,767.80 × 16,464.40
  4. Step 4: Simplify right side
    25,824.40x = 638,288,566.32
  5. Step 5: Solve for x
    x = 638,288,566.32/25,824.40
  6. Step 6: Final answer
    x = 24,716.49

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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.