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Finding the Fourth Proportional to 12,969.64, 17,899.14 and 9,971.56

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Solution

The fourth proportional to 12,969.64, 17,899.14 and 9,971.56 is: 13,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.64 : 17,899.14 = 9,971.56 : x
  2. Step 2: Convert to fraction form
    12,969.64/17,899.14 = 9,971.56/x
  3. Step 3: Cross multiply
    12,969.64x = 17,899.14 × 9,971.56
  4. Step 4: Simplify right side
    12,969.64x = 178,482,348.46
  5. Step 5: Solve for x
    x = 178,482,348.46/12,969.64
  6. Step 6: Final answer
    x = 13,761.55

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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.