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Finding the Fourth Proportional to 18,597.52, 25,664.56 and 10,214

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Solution

The fourth proportional to 18,597.52, 25,664.56 and 10,214 is: 14,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,597.52 : 25,664.56 = 10,214 : x
  2. Step 2: Convert to fraction form
    18,597.52/25,664.56 = 10,214/x
  3. Step 3: Cross multiply
    18,597.52x = 25,664.56 × 10,214
  4. Step 4: Simplify right side
    18,597.52x = 262,137,815.84
  5. Step 5: Solve for x
    x = 262,137,815.84/18,597.52
  6. Step 6: Final answer
    x = 14,095.31

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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.