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Finding the Fourth Proportional to 14,182.36, 21,241.14 and 6,792.01

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Solution

The fourth proportional to 14,182.36, 21,241.14 and 6,792.01 is: 10,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.36 : 21,241.14 = 6,792.01 : x
  2. Step 2: Convert to fraction form
    14,182.36/21,241.14 = 6,792.01/x
  3. Step 3: Cross multiply
    14,182.36x = 21,241.14 × 6,792.01
  4. Step 4: Simplify right side
    14,182.36x = 144,270,035.29
  5. Step 5: Solve for x
    x = 144,270,035.29/14,182.36
  6. Step 6: Final answer
    x = 10,172.50

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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.