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Finding the Fourth Proportional to 14,293.14, 21,443.76 and 7,724.04

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Solution

The fourth proportional to 14,293.14, 21,443.76 and 7,724.04 is: 11,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.14 : 21,443.76 = 7,724.04 : x
  2. Step 2: Convert to fraction form
    14,293.14/21,443.76 = 7,724.04/x
  3. Step 3: Cross multiply
    14,293.14x = 21,443.76 × 7,724.04
  4. Step 4: Simplify right side
    14,293.14x = 165,632,459.99
  5. Step 5: Solve for x
    x = 165,632,459.99/14,293.14
  6. Step 6: Final answer
    x = 11,588.25

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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.