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Finding the Fourth Proportional to 25,675.40, 38,513.10 and 14,616.20

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Solution

The fourth proportional to 25,675.40, 38,513.10 and 14,616.20 is: 21,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.40 : 38,513.10 = 14,616.20 : x
  2. Step 2: Convert to fraction form
    25,675.40/38,513.10 = 14,616.20/x
  3. Step 3: Cross multiply
    25,675.40x = 38,513.10 × 14,616.20
  4. Step 4: Simplify right side
    25,675.40x = 562,915,172.22
  5. Step 5: Solve for x
    x = 562,915,172.22/25,675.40
  6. Step 6: Final answer
    x = 21,924.30

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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.