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Finding the Fourth Proportional to 18,688.64, 25,787.40 and 10,729.76

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Solution

The fourth proportional to 18,688.64, 25,787.40 and 10,729.76 is: 14,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688.64 : 25,787.40 = 10,729.76 : x
  2. Step 2: Convert to fraction form
    18,688.64/25,787.40 = 10,729.76/x
  3. Step 3: Cross multiply
    18,688.64x = 25,787.40 × 10,729.76
  4. Step 4: Simplify right side
    18,688.64x = 276,692,613.02
  5. Step 5: Solve for x
    x = 276,692,613.02/18,688.64
  6. Step 6: Final answer
    x = 14,805.39

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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.