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Finding the Fourth Proportional to 18,686.64, 25,787.52 and 10,729.38

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Solution

The fourth proportional to 18,686.64, 25,787.52 and 10,729.38 is: 14,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686.64 : 25,787.52 = 10,729.38 : x
  2. Step 2: Convert to fraction form
    18,686.64/25,787.52 = 10,729.38/x
  3. Step 3: Cross multiply
    18,686.64x = 25,787.52 × 10,729.38
  4. Step 4: Simplify right side
    18,686.64x = 276,684,101.34
  5. Step 5: Solve for x
    x = 276,684,101.34/18,686.64
  6. Step 6: Final answer
    x = 14,806.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.