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Finding the Fourth Proportional to 25,660.50, 35,412.09 and 14,329.41

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Solution

The fourth proportional to 25,660.50, 35,412.09 and 14,329.41 is: 19,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660.50 : 35,412.09 = 14,329.41 : x
  2. Step 2: Convert to fraction form
    25,660.50/35,412.09 = 14,329.41/x
  3. Step 3: Cross multiply
    25,660.50x = 35,412.09 × 14,329.41
  4. Step 4: Simplify right side
    25,660.50x = 507,434,170.04
  5. Step 5: Solve for x
    x = 507,434,170.04/25,660.50
  6. Step 6: Final answer
    x = 19,774.92

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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.