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Finding the Fourth Proportional to 25,708.72, 35,476.30 and 14,530

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Solution

The fourth proportional to 25,708.72, 35,476.30 and 14,530 is: 20,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.72 : 35,476.30 = 14,530 : x
  2. Step 2: Convert to fraction form
    25,708.72/35,476.30 = 14,530/x
  3. Step 3: Cross multiply
    25,708.72x = 35,476.30 × 14,530
  4. Step 4: Simplify right side
    25,708.72x = 515,470,639.00
  5. Step 5: Solve for x
    x = 515,470,639.00/25,708.72
  6. Step 6: Final answer
    x = 20,050.42

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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.