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Finding the Fourth Proportional to 15,754.02, 21,735.89 and 9,377.40

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Solution

The fourth proportional to 15,754.02, 21,735.89 and 9,377.40 is: 12,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.02 : 21,735.89 = 9,377.40 : x
  2. Step 2: Convert to fraction form
    15,754.02/21,735.89 = 9,377.40/x
  3. Step 3: Cross multiply
    15,754.02x = 21,735.89 × 9,377.40
  4. Step 4: Simplify right side
    15,754.02x = 203,826,074.03
  5. Step 5: Solve for x
    x = 203,826,074.03/15,754.02
  6. Step 6: Final answer
    x = 12,938.04

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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.