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Finding the Fourth Proportional to 12,902.68, 17,805.27 and 7,597.81

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Solution

The fourth proportional to 12,902.68, 17,805.27 and 7,597.81 is: 10,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.68 : 17,805.27 = 7,597.81 : x
  2. Step 2: Convert to fraction form
    12,902.68/17,805.27 = 7,597.81/x
  3. Step 3: Cross multiply
    12,902.68x = 17,805.27 × 7,597.81
  4. Step 4: Simplify right side
    12,902.68x = 135,281,058.46
  5. Step 5: Solve for x
    x = 135,281,058.46/12,902.68
  6. Step 6: Final answer
    x = 10,484.73

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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.