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Finding the Fourth Proportional to 12,969.57, 17,970.29 and 12,689.31

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Solution

The fourth proportional to 12,969.57, 17,970.29 and 12,689.31 is: 17,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.57 : 17,970.29 = 12,689.31 : x
  2. Step 2: Convert to fraction form
    12,969.57/17,970.29 = 12,689.31/x
  3. Step 3: Cross multiply
    12,969.57x = 17,970.29 × 12,689.31
  4. Step 4: Simplify right side
    12,969.57x = 228,030,580.60
  5. Step 5: Solve for x
    x = 228,030,580.60/12,969.57
  6. Step 6: Final answer
    x = 17,581.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.