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Finding the Fourth Proportional to 25,475.94, 35,157.22 and 14,146.17

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Solution

The fourth proportional to 25,475.94, 35,157.22 and 14,146.17 is: 19,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.94 : 35,157.22 = 14,146.17 : x
  2. Step 2: Convert to fraction form
    25,475.94/35,157.22 = 14,146.17/x
  3. Step 3: Cross multiply
    25,475.94x = 35,157.22 × 14,146.17
  4. Step 4: Simplify right side
    25,475.94x = 497,340,010.85
  5. Step 5: Solve for x
    x = 497,340,010.85/25,475.94
  6. Step 6: Final answer
    x = 19,521.95

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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.