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Finding the Fourth Proportional to 12,938.72, 17,855.36 and 7,902.24

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Solution

The fourth proportional to 12,938.72, 17,855.36 and 7,902.24 is: 10,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.72 : 17,855.36 = 7,902.24 : x
  2. Step 2: Convert to fraction form
    12,938.72/17,855.36 = 7,902.24/x
  3. Step 3: Cross multiply
    12,938.72x = 17,855.36 × 7,902.24
  4. Step 4: Simplify right side
    12,938.72x = 141,097,385.83
  5. Step 5: Solve for x
    x = 141,097,385.83/12,938.72
  6. Step 6: Final answer
    x = 10,905.05

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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.