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Finding the Fourth Proportional to 25,497.82, 35,182.94 and 14,738.70

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Solution

The fourth proportional to 25,497.82, 35,182.94 and 14,738.70 is: 20,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.82 : 35,182.94 = 14,738.70 : x
  2. Step 2: Convert to fraction form
    25,497.82/35,182.94 = 14,738.70/x
  3. Step 3: Cross multiply
    25,497.82x = 35,182.94 × 14,738.70
  4. Step 4: Simplify right side
    25,497.82x = 518,550,797.78
  5. Step 5: Solve for x
    x = 518,550,797.78/25,497.82
  6. Step 6: Final answer
    x = 20,337.06

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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.