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Finding the Fourth Proportional to 25,734, 38,513.28 and 21,578.64

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Solution

The fourth proportional to 25,734, 38,513.28 and 21,578.64 is: 32,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734 : 38,513.28 = 21,578.64 : x
  2. Step 2: Convert to fraction form
    25,734/38,513.28 = 21,578.64/x
  3. Step 3: Cross multiply
    25,734x = 38,513.28 × 21,578.64
  4. Step 4: Simplify right side
    25,734x = 831,064,204.34
  5. Step 5: Solve for x
    x = 831,064,204.34/25,734
  6. Step 6: Final answer
    x = 32,294.40

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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.