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Finding the Fourth Proportional to 14,101.20, 19,460.16 and 7,727.40

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Solution

The fourth proportional to 14,101.20, 19,460.16 and 7,727.40 is: 10,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.20 : 19,460.16 = 7,727.40 : x
  2. Step 2: Convert to fraction form
    14,101.20/19,460.16 = 7,727.40/x
  3. Step 3: Cross multiply
    14,101.20x = 19,460.16 × 7,727.40
  4. Step 4: Simplify right side
    14,101.20x = 150,376,440.38
  5. Step 5: Solve for x
    x = 150,376,440.38/14,101.20
  6. Step 6: Final answer
    x = 10,664.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.