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Finding the Fourth Proportional to 25,012, 34,520.16 and 14,400.64

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Solution

The fourth proportional to 25,012, 34,520.16 and 14,400.64 is: 19,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012 : 34,520.16 = 14,400.64 : x
  2. Step 2: Convert to fraction form
    25,012/34,520.16 = 14,400.64/x
  3. Step 3: Cross multiply
    25,012x = 34,520.16 × 14,400.64
  4. Step 4: Simplify right side
    25,012x = 497,112,396.90
  5. Step 5: Solve for x
    x = 497,112,396.90/25,012
  6. Step 6: Final answer
    x = 19,874.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.