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Finding the Fourth Proportional to 14,142.40, 19,475.04 and 12,959.68

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Solution

The fourth proportional to 14,142.40, 19,475.04 and 12,959.68 is: 17,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.40 : 19,475.04 = 12,959.68 : x
  2. Step 2: Convert to fraction form
    14,142.40/19,475.04 = 12,959.68/x
  3. Step 3: Cross multiply
    14,142.40x = 19,475.04 × 12,959.68
  4. Step 4: Simplify right side
    14,142.40x = 252,390,286.39
  5. Step 5: Solve for x
    x = 252,390,286.39/14,142.40
  6. Step 6: Final answer
    x = 17,846.35

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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.