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Finding the Fourth Proportional to 15,742.94, 21,725.82 and 9,777.90

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Solution

The fourth proportional to 15,742.94, 21,725.82 and 9,777.90 is: 13,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.94 : 21,725.82 = 9,777.90 : x
  2. Step 2: Convert to fraction form
    15,742.94/21,725.82 = 9,777.90/x
  3. Step 3: Cross multiply
    15,742.94x = 21,725.82 × 9,777.90
  4. Step 4: Simplify right side
    15,742.94x = 212,432,895.38
  5. Step 5: Solve for x
    x = 212,432,895.38/15,742.94
  6. Step 6: Final answer
    x = 13,493.85

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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.