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Finding the Fourth Proportional to 25,660.31, 35,410.89 and 14,330

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Solution

The fourth proportional to 25,660.31, 35,410.89 and 14,330 is: 19,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660.31 : 35,410.89 = 14,330 : x
  2. Step 2: Convert to fraction form
    25,660.31/35,410.89 = 14,330/x
  3. Step 3: Cross multiply
    25,660.31x = 35,410.89 × 14,330
  4. Step 4: Simplify right side
    25,660.31x = 507,438,053.70
  5. Step 5: Solve for x
    x = 507,438,053.70/25,660.31
  6. Step 6: Final answer
    x = 19,775.21

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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.