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Finding the Fourth Proportional to 12,971.32, 17,899.21 and 7,665.12

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Solution

The fourth proportional to 12,971.32, 17,899.21 and 7,665.12 is: 10,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.32 : 17,899.21 = 7,665.12 : x
  2. Step 2: Convert to fraction form
    12,971.32/17,899.21 = 7,665.12/x
  3. Step 3: Cross multiply
    12,971.32x = 17,899.21 × 7,665.12
  4. Step 4: Simplify right side
    12,971.32x = 137,199,618.14
  5. Step 5: Solve for x
    x = 137,199,618.14/12,971.32
  6. Step 6: Final answer
    x = 10,577.15

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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.