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Finding the Fourth Proportional to 12,846.05, 17,725.28 and 7,178.99

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Solution

The fourth proportional to 12,846.05, 17,725.28 and 7,178.99 is: 9,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.05 : 17,725.28 = 7,178.99 : x
  2. Step 2: Convert to fraction form
    12,846.05/17,725.28 = 7,178.99/x
  3. Step 3: Cross multiply
    12,846.05x = 17,725.28 × 7,178.99
  4. Step 4: Simplify right side
    12,846.05x = 127,249,483.35
  5. Step 5: Solve for x
    x = 127,249,483.35/12,846.05
  6. Step 6: Final answer
    x = 9,905.73

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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.