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Finding the Fourth Proportional to 12,954.60, 19,371.96 and 9,835.29

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Solution

The fourth proportional to 12,954.60, 19,371.96 and 9,835.29 is: 14,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.60 : 19,371.96 = 9,835.29 : x
  2. Step 2: Convert to fraction form
    12,954.60/19,371.96 = 9,835.29/x
  3. Step 3: Cross multiply
    12,954.60x = 19,371.96 × 9,835.29
  4. Step 4: Simplify right side
    12,954.60x = 190,528,844.47
  5. Step 5: Solve for x
    x = 190,528,844.47/12,954.60
  6. Step 6: Final answer
    x = 14,707.43

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Why These Related Problems?

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