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Finding the Fourth Proportional to 12,902.09, 17,805.51 and 7,598.61

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Solution

The fourth proportional to 12,902.09, 17,805.51 and 7,598.61 is: 10,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.09 : 17,805.51 = 7,598.61 : x
  2. Step 2: Convert to fraction form
    12,902.09/17,805.51 = 7,598.61/x
  3. Step 3: Cross multiply
    12,902.09x = 17,805.51 × 7,598.61
  4. Step 4: Simplify right side
    12,902.09x = 135,297,126.34
  5. Step 5: Solve for x
    x = 135,297,126.34/12,902.09
  6. Step 6: Final answer
    x = 10,486.45

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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.