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Finding the Fourth Proportional to 14,022, 21,035.43 and 4,788

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Solution

The fourth proportional to 14,022, 21,035.43 and 4,788 is: 7,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 21,035.43 = 4,788 : x
  2. Step 2: Convert to fraction form
    14,022/21,035.43 = 4,788/x
  3. Step 3: Cross multiply
    14,022x = 21,035.43 × 4,788
  4. Step 4: Simplify right side
    14,022x = 100,717,638.84
  5. Step 5: Solve for x
    x = 100,717,638.84/14,022
  6. Step 6: Final answer
    x = 7,182.83

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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.