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Finding the Fourth Proportional to 25,523.46, 35,224.29 and 14,194.98

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Solution

The fourth proportional to 25,523.46, 35,224.29 and 14,194.98 is: 19,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.46 : 35,224.29 = 14,194.98 : x
  2. Step 2: Convert to fraction form
    25,523.46/35,224.29 = 14,194.98/x
  3. Step 3: Cross multiply
    25,523.46x = 35,224.29 × 14,194.98
  4. Step 4: Simplify right side
    25,523.46x = 500,008,092.06
  5. Step 5: Solve for x
    x = 500,008,092.06/25,523.46
  6. Step 6: Final answer
    x = 19,590.14

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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.