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Finding the Fourth Proportional to 25,930.71, 35,778.06 and 14,598

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Solution

The fourth proportional to 25,930.71, 35,778.06 and 14,598 is: 20,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930.71 : 35,778.06 = 14,598 : x
  2. Step 2: Convert to fraction form
    25,930.71/35,778.06 = 14,598/x
  3. Step 3: Cross multiply
    25,930.71x = 35,778.06 × 14,598
  4. Step 4: Simplify right side
    25,930.71x = 522,288,119.88
  5. Step 5: Solve for x
    x = 522,288,119.88/25,930.71
  6. Step 6: Final answer
    x = 20,141.68

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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.