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Finding the Fourth Proportional to 13,124.64, 19,679.73 and 8,969.34

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Solution

The fourth proportional to 13,124.64, 19,679.73 and 8,969.34 is: 13,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.64 : 19,679.73 = 8,969.34 : x
  2. Step 2: Convert to fraction form
    13,124.64/19,679.73 = 8,969.34/x
  3. Step 3: Cross multiply
    13,124.64x = 19,679.73 × 8,969.34
  4. Step 4: Simplify right side
    13,124.64x = 176,514,189.48
  5. Step 5: Solve for x
    x = 176,514,189.48/13,124.64
  6. Step 6: Final answer
    x = 13,449.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.