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Finding the Fourth Proportional to 12,906.30, 17,810.90 and 7,242.30

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Solution

The fourth proportional to 12,906.30, 17,810.90 and 7,242.30 is: 9,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.30 : 17,810.90 = 7,242.30 : x
  2. Step 2: Convert to fraction form
    12,906.30/17,810.90 = 7,242.30/x
  3. Step 3: Cross multiply
    12,906.30x = 17,810.90 × 7,242.30
  4. Step 4: Simplify right side
    12,906.30x = 128,991,844.86
  5. Step 5: Solve for x
    x = 128,991,844.86/12,906.30
  6. Step 6: Final answer
    x = 9,994.49

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