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Finding the Fourth Proportional to 25,976, 35,846.88 and 14,200

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Solution

The fourth proportional to 25,976, 35,846.88 and 14,200 is: 19,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976 : 35,846.88 = 14,200 : x
  2. Step 2: Convert to fraction form
    25,976/35,846.88 = 14,200/x
  3. Step 3: Cross multiply
    25,976x = 35,846.88 × 14,200
  4. Step 4: Simplify right side
    25,976x = 509,025,696.00
  5. Step 5: Solve for x
    x = 509,025,696.00/25,976
  6. Step 6: Final answer
    x = 19,596.00

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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.