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Finding the Fourth Proportional to 25,971.40, 35,838.42 and 14,642.68

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Solution

The fourth proportional to 25,971.40, 35,838.42 and 14,642.68 is: 20,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.40 : 35,838.42 = 14,642.68 : x
  2. Step 2: Convert to fraction form
    25,971.40/35,838.42 = 14,642.68/x
  3. Step 3: Cross multiply
    25,971.40x = 35,838.42 × 14,642.68
  4. Step 4: Simplify right side
    25,971.40x = 524,770,515.77
  5. Step 5: Solve for x
    x = 524,770,515.77/25,971.40
  6. Step 6: Final answer
    x = 20,205.71

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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.