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Finding the Fourth Proportional to 25,672.64, 38,428.25 and 16,323.21

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Solution

The fourth proportional to 25,672.64, 38,428.25 and 16,323.21 is: 24,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.64 : 38,428.25 = 16,323.21 : x
  2. Step 2: Convert to fraction form
    25,672.64/38,428.25 = 16,323.21/x
  3. Step 3: Cross multiply
    25,672.64x = 38,428.25 × 16,323.21
  4. Step 4: Simplify right side
    25,672.64x = 627,272,313.07
  5. Step 5: Solve for x
    x = 627,272,313.07/25,672.64
  6. Step 6: Final answer
    x = 24,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.