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Finding the Fourth Proportional to 12,652.32, 17,460.96 and 7,063.68

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Solution

The fourth proportional to 12,652.32, 17,460.96 and 7,063.68 is: 9,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.32 : 17,460.96 = 7,063.68 : x
  2. Step 2: Convert to fraction form
    12,652.32/17,460.96 = 7,063.68/x
  3. Step 3: Cross multiply
    12,652.32x = 17,460.96 × 7,063.68
  4. Step 4: Simplify right side
    12,652.32x = 123,338,633.93
  5. Step 5: Solve for x
    x = 123,338,633.93/12,652.32
  6. Step 6: Final answer
    x = 9,748.30

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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.